Article
Thermodynamics
Cai Lv, Yanpeng Li, Guangjun Wang, He Liu, Xuehong Wu, Shuang Cao
Summary: This paper proposes an estimation scheme using the boundary condition transfer technique to accurately determine the time-varying convective heat transfer coefficient (CHTC). By estimating the fluid temperature and weighting the discrete values of characteristic variable, the estimated results of time-varying CHTC are obtained. Numerical simulation tests and comparison with traditional methods demonstrate the effectiveness of the proposed scheme in determining CHTC and improving computational efficiency.
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER
(2023)
Article
Engineering, Multidisciplinary
Reima D. Alsemiry, Hamed M. Sayed, Norsarahaida Amin
Summary: The study investigated the effect of a catheter on blood flow and heat transfer characteristics using the Carreau fluid model, showing that the eccentric position of the catheter resulted in higher axial velocity, wall shear stress, and temperature compared to a concentric catheter. The results also indicated that the average Nusselt number increased with catheter radius and velocity, but decreased with increased Weissenberg number, Prandtl number, and Eckert number, suggesting that considering the eccentric position of the catheter could alleviate risks and complications associated with catheterization, in agreement with physiological observations.
ALEXANDRIA ENGINEERING JOURNAL
(2022)
Article
Multidisciplinary Sciences
Fuzhang Wang, Shafiq Ahmad, Qasem Al Mdallal, Maha Alammari, Muhammad Naveed Khan, Aysha Rehman
Summary: This article mainly focuses on the influence of chemical reaction slip condition on the unsteady three-dimensional Maxwell bio-convective nanomaterial liquid flow towards an exponentially expanding surface. The study examines the changes in temperature, velocity, microorganism, and concentration field through numerical calculations and graphical evaluation. The results show that the involvement of unsteadiness parameter restricts the transition from laminar to turbulent flow, while the velocity slip parameter has a decreasing effect on velocity components.
SCIENTIFIC REPORTS
(2022)
Article
Engineering, Multidisciplinary
Majid Hussain, Abdul Ghaffar, Akhtar Ali, Azeem Shahzad, Kottakkaran Sooppy Nisar, M. R. Alharthi, Wasim Jamshed
Summary: This paper discusses the MHD thermal boundary layer flow of Casson liquid over an extending penetrable wedge with ohmic heating and convective boundary condition. Computational solutions for governing equations are achieved using the homotopy analysis method, examining the influence of various parameters on momentum and temperature field. Results show that convective heat transfer enhances momentum and thermal boundary layer thickness with increasing suction, magnifying the heat transfer rate.
ALEXANDRIA ENGINEERING JOURNAL
(2021)
Article
Mathematics
Kohilavani Naganthran, Roslinda Nazar, Zailan Siri, Ishak Hashim
Summary: The study explores the application of melting heat transfer in energy storage devices like thin film supercapacitors, showing non-uniqueness solutions and identifying unreliable solutions with negative film thickness. Melting heat transfer reduces heat transfer rate without affecting liquid film thickness, while Carreau hybrid nanofluid contributes more entropy than Carreau nanofluid in the flow regime.
Article
Mathematics
Remus-Daniel Ene, Nicolina Pop, Rodica Badarau
Summary: In this work, the partial slip effects for radiative convective nanofluid flow over a stretching sheet in a porous medium are analytically explored. The Navier-Stokes equations, the momentum equation, and the energy equation are transformed into a set of non-linear ODEs using a similarity transformation. The resulting equations are solved approximately using the modified optimal homotopy asymptotic method (OHAM). The impact of various parameters on the mass and heat transfer behavior is investigated and presented graphically and in tabular form. The results demonstrate the effectiveness of the modified OHAM in solving a wide range of non-linear problems.
Article
Computer Science, Interdisciplinary Applications
Ramesh B. Kudenatti, Noor E. Misbah, M. C. Bharathi
Summary: Numerical simulations are conducted to study forced convective heat transfer and boundary layer flow of non-Newtonian fluid over a moving wedge. The effects of Carreau fluid on velocity, heat transfer rate, and thicknesses are investigated. The simulations reveal both single and double solutions, with the first solutions being stable and the second solutions being time-amplified. Linear stability analysis is performed to identify which solutions can be practically simulated.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2023)
Article
Thermodynamics
Rabia Malik, Hina Sadaf, Zaib Un Nisa
Summary: This article provides a comprehensive analysis of the flow of Carreau fluid past a stretched cylinder under convective surface conditions and velocity slip. The study uses the Cattaneo-Christov heat flux model to examine the heat transfer characteristics of the Carreau fluid. The results show the significant impact of various parameters on the temperature and velocity distributions, and discuss the performance of surface drag coefficient and heat transfer rate. The findings are relevant for applications in heat transfer over soft surfaces.
JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
(2022)
Article
Engineering, Multidisciplinary
Yeou Jiann Lim, Sharidan Shafie, Sharena Mohamad Isa, Noraihan Afiqah Rawi, Ahmad Qushairi Mohamad
Summary: This study investigates the effects of various parameters on Carreau fluid flow over a vertical stretching cylinder and utilizes the optimal homotopy analysis method to solve the highly nonlinear governing equations. The results indicate that the velocity exhibits opposite behavior compared to temperature and concentration, and the curvature of the cylinder enhances the thickness of boundary layers for momentum, thermal, and concentration.
ALEXANDRIA ENGINEERING JOURNAL
(2022)
Article
Mathematics
Remus-Daniel Ene, Nicolina Pop, Rodica Badarau
Summary: The aim of this paper is to investigate effective and accurate dual analytic approximate solutions, while taking into account thermal effects. The heat and mass transfer problem in a viscous fluid flow are analytically explored by using the modified Optimal Homotopy Asymptotic Method (OHAM). Based on the numerical results, it was revealed that there are dual analytic approximate solutions within the mass transfer problem. The advantage of the proposed method arises from using only one iteration for obtaining the dual analytical solutions. The presented results are effective, accurate and in good agreement with the corresponding numerical results with relevance for further engineering applications of heat and mass transfer problems.
Article
Mathematics, Applied
Chunying Ming, Kexin Liu, Kelu Han, Xinhui Si
Summary: This paper analyzes the heat transfer of Carreau fluid over a rotating disk, considering two models with variable thermal conductivity. The governing PDEs are transformed into ODEs by similarity transformation and solved using the improved bvp4c method. The effects of Carreau fluid index and Prandtl number on velocity and temperature fields are analyzed, and the thermal conductivity is computed under two cases.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
Article
Thermodynamics
Bo Xie, Yuan-Ming Wang
Summary: This paper discusses the heat transfer process of stagnation-point flow of power-law magneto-hydro-dynamical fluid over a stretching surface with modified convective heat transfer boundary condition. The study found that higher viscosity restricts heat transfer and both velocity gradient and temperature gradient play an indispensable role in the heat transfer process. The velocity profiles converge to stagnation parameter values and larger power-law index enhances momentum diffusion while causing a decline in heat flux.
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
(2022)
Article
Chemistry, Multidisciplinary
Syed Amir Ghazi Ali Shah, Ali Hassan, Najah Alsubaie, Abdullah Alhushaybari, Fahad M. Alharbi, Ahmed M. Galal, Diana-Petronela Burduhos-Nergis, Costica Bejinariu
Summary: This study investigates the flow and heat transfer characteristics of a magneto-hydrodynamic Carreau fluid over a stretching/shrinking surface. The temperature-dependent thermophysical properties are taken into account in the mathematical model, and the effects of various parameters on the flow and heat transfer are analyzed. The results show that parameters such as magnetization, stretching ratio, and Prandtl number have significant influences on the flow and heat transfer. This study provides valuable insights into the understanding of fluid flow and heat transfer phenomena in this type of fluid.
Article
Engineering, Multidisciplinary
Abiodun O. Ajibade, Tafida M. Kabir
Summary: This article investigates the effect of viscous dissipation on steady natural convection Couette flow under convective boundary condition. The solutions of the energy and momentum equations were obtained using the homotopy perturbation method. The impacts of the controlling parameters were analyzed graphically. It was found that increasing viscous dissipation leads to higher fluid temperature and lower fluid velocity. Heat generation decreases the rate of heat transfer on the heated plate and increases it on the cold plate. Additionally, an increase in Biot number results in an increase in the velocity boundary layer thickness.
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
(2023)
Article
Engineering, Mechanical
Victor Roda-Casanova, Francisco Sanchez-Marin, Raul Martinez-Cuenca
Summary: Heat convection is a significant factor in the cooling process of polymer spur gears running in dry conditions, affecting the gear strength. A numerical heat convection model is proposed in this study, based on a detailed CFD simulation, to investigate heat convection on the external surfaces of the gears. Parametric studies reveal that the relative differences between the results obtained from this model and a representative classical heat convection model can reach up to 125% in terms of heat transfer coefficients. An optimized heat convection model, using empirical equations derived from Newton's law of cooling, is proposed to improve the accuracy of the classical models while reducing the maximum relative differences to 10%.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Engineering, Mechanical
Hira Mehboob, Khadija Maqbool, Muhammad Ramzan, Qudsia Jamil, Muhammad Yousaf Malik
Summary: This research presents the analytical study of the creeping flow of a Maxwell fluid in a permeable slit under the effect of linear reabsorption. The mathematical model is solved by the recursive approach explaining the hydrodynamic aspects of creeping Maxwell fluid flow, obtaining expressions for various parameters. Graphical analysis is established to demonstrate the effects of emerging parameters due to linear reabsorption, showing the impact on velocity, shear stress, and flow rate.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
(2022)
Article
Mathematics
Ahmed Alsaedi, Bashir Ahmad, Mokhtar Kirane, Abderrazak Nabti
Summary: In this paper, a nonexistence result is proved for the higher-order nonlinear Schrodinger equation. The upper bound of the lifespan of solutions and the necessary conditions for the existence of local or global solutions are obtained. Moreover, the results are extended to a 2 x 2 system.
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
(2022)
Article
Mathematics, Applied
Yu-Ming Chu, Seemab Bashir, Muhammad Ramzan, Muhammad Yousaf Malik
Summary: This study examines the impact of unsteady viscous flow in a squeezing channel and investigates the flow and heat transfer mechanism of different shapes of silver-gold hybrid nanofluid particles in the base fluid. The numerical solution and parameter analysis reveal that the Yamada-Ota model of the Hybrid nanofluid has a higher temperature and velocity profile, and the performance of hybrid nanoparticles is superior to that of common nanofluids.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Physics, Applied
Muhammad Ramzan, Jawad Ali, Nazia Shahmir, Hassan Ali S. Ghazwani, Kottakkaran Sooppy Nisar, C. Ahamed Saleel
Summary: This study numerically solves a set of ordinary differential equations to analyze the influence of a magnetic dipole on the flow of non-electrical conducting Oldroyd-B fluid. The effects of thermophoretic particle deposition and chemical reaction parameter on velocity, temperature, and concentration are examined. The model is validated in the limiting case.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Physics, Applied
Muhammad Ramzan, Naila Shaheen, Hassan Ali S. Ghazwani, Kottakkaran Sooppy Nisar, C. Ahamed Saleel
Summary: This paper studies the flow of a chemical reactive Maxwell nanofluid in porous media, considering the temperature-dependent thermal conductivity and spinning cone conditions. The effects of various parameters on velocity, heat, and mass transfers are analyzed using numerical solutions and graphical representation.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Physics, Applied
Muhammad Ramzan, Hina Gul, Hassan Ali S. Ghazwani, Kottakkaran Sooppy Nisar, Mohamed Abbas, C. Ahamed Saleel
Summary: Hybrid nanofluids (HNFs) are a new type of nanofluids with a wide range of applications. The behavior of Hamilton-Crosser (H-C) and Yamada-Ota (Y-O) HNF flow models past a stretching cylinder is explored in this study. The results show that the Y-O HNF flow model performs better and blade-shaped nanoparticles have a higher heat transfer rate.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Physics, Applied
Muhammad Ramzan, Hina Gul, Hassan Ali S. Ghazwani, Kottakkaran Sooppy Nisar, C. Ahamed Saleel
Summary: This study investigates the flow model of hybrid nanofluids (gold-silver/engine oil) over a stretched cylindrical surface and a sheet in a permeable medium. The novelty lies in considering surface-catalyzed reaction and homogeneous-heterogeneous reactions to accelerate chemical reactions. The heat transport phenomena are enhanced with the support of Joule heating, heat absorption/generation, and the convective heat boundary condition. Ordinary differential equations are obtained using boundary layer theory and numerically solved using the Keller box method. The results show that the thermal profile enhances while the velocity field reduces for different magnetic parameter estimates, and the fluid concentration decreases when the surface-catalyzed parameter increases.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Mathematics
Ahmed Alsaedi, Mokhtar Kirane, Ahmad Z. Fino, Bashir Ahmad
Summary: By using the nonlinear capacity method, some results are obtained regarding the nonexistence of nontrivial solutions to time and space fractional differential evolution equations with transformed space argument. These results are then applied to a 2 x 2 system of equations with transformed space arguments.
BULLETIN OF MATHEMATICAL SCIENCES
(2023)
Article
Physics, Applied
Muhammad Ramzan, Naila Shaheen, Hassan Ali S. Ghazwani, Kottakkaran Sooppy Nisar, C. Ahamed Saleel
Summary: In this study, temperature-dependent Yamada-Ota and Xue hybrid nanoliquid models were used to investigate the thermal performance over a curved stretchable surface embedded in an absorbent media. The results showed that the modified Fourier law combined with temperature-dependent thermal conductivity, Newtonian heating, and variable heat source/sink can enhance the thermal performance. Additionally, it was observed that the fluid velocity decreases with an increase in the velocity slip parameter and increases with an increase in the curvature parameter. Moreover, the temperature field is enhanced with the conjugate parameter. The results are in good agreement with the existing literature.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Thermodynamics
Muhammad Ramzan, Nazia Shahmir, Hassan Ali S. Ghazwani, Yasser Elmasry, Seifedine Kadry
Summary: This study investigates the hydrodynamic and heat transmission behavior of MHD water-based nanoliquid flow across a permeable stretched curved surface affected by an induced magnetic field. The results show that increasing the curvature parameter enhances the induced magnetic field profile, and considering the Brownian motion and static behavior of nanoparticles results in a higher surface drag coefficient and greater heat transfer rate.
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS
(2023)
Article
Thermodynamics
Muhammad Ramzan, Naila Shaheen, Hassan Ali S. Ghazwani, Yasser Elmasry, Seifedine Kadry
Summary: This research examines the combined effects of Cattaneo-Christov heat flux and heat generation/absorption on magnetohydrodynamic nanoliquid across a linearly stretchable bidirectional surface immersed in a permeable media. The study formulates the problem by considering Corcione's correlation and applies a well-known bvp4c method in MATLAB to numerically address the resulting ordinary differential equations. The findings demonstrate the impact of emerging parameters on the velocity and thermal field of the nanoliquid, with a strong correlation observed with previous literature.
NUMERICAL HEAT TRANSFER PART A-APPLICATIONS
(2023)
Article
Automation & Control Systems
Ahmed Alsaedi, Jinde Cao, Bashir Ahmad, Ahmed Alshehri, Xuegang Tan
Summary: This article proposes a distributed adaptive control scheme for second-order leader-following multiagent systems with only position information as output. An auxiliary network is used to estimate unmeasurable velocity information and make the output-based distributed adaptive control protocol effective. The distributed synchronization criteria are established, and the convergence analysis is provided based on the stability theory. Several simulation examples are presented to validate the proposed criteria.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2023)
Article
Chemistry, Multidisciplinary
Sohail A. Khan, T. Hayat, A. Alsaedi
Summary: In this study, the magnetohydrodynamic bioconvective flow of a non-Newtonian nanomaterial over a stretched sheet is analyzed. The convective conditions and irreversibility analysis in the presence of gyrotactic micro-organisms are discussed. Energy expressions considering thermal radiation, heat generation, and ohmic heating are used. By employing Buongiorno's model, the characteristics of the nanoliquid through thermophoresis and random diffusions are studied. Nonlinear expressions of the model are transformed through adequate transformations and computed using the Newton built in-shooting technique. Graphical studies are conducted on influential variables for velocity, concentration, microorganism field, temperature, and entropy rate. Significant findings include velocity reduction with bioconvection Rayleigh number and magnetic variable, temperature augmentation with higher heat generation variable, and entropy and temperature enhancement with increased magnetic variable.
NANOSCALE ADVANCES
(2023)
Article
Chemistry, Multidisciplinary
Aneeta Razaq, Tasawar Hayat, Sohail A. Khan, Ahmed Alsaedi
Summary: This study investigates the hydromagnetic entropy optimized flow of a hybrid nanoliquid (Pb + Fe2O3/C2H6O2) on a curved stretchable surface. The Darcy-Forchheimer model is used for the porous space, with lead (Pb) and ferric oxide (Fe2O3) as the nanoparticles and ethylene glycol (C2H6O2) as the base liquid. The effects of various variables on velocity, thermal field, and entropy are analyzed. The results show that an increase in thermal relaxation time enhances heat transport rate and temperature, while an increase in the magnetic variable intensifies entropy and thermal field.
NANOSCALE ADVANCES
(2023)
Article
Chemistry, Multidisciplinary
Sohail A. Khan, T. Hayat, A. Alsaedi
Summary: In this study, the magnetohydrodynamic bioconvective flow of a non-Newtonian nanomaterial over a stretched sheet is examined. The convective conditions and the effects of gyrotactic micro-organisms are analyzed. The obtained results show that the velocity decreases with the bioconvection Rayleigh number and magnetic variable, while the temperature and entropy increase with higher heat generation and magnetic variable. The concentration in the microorganism field decreases with a higher Peclet number, and the temperature distribution increases with radiation and solutal Biot number. The entropy rate increases with radiation and diffusion variables.
NANOSCALE ADVANCES
(2023)
Article
Mathematics, Applied
Peter Frolkovic, Nikola Gajdosova
Summary: This paper presents compact semi-implicit finite difference schemes for solving advection problems using level set methods. Through numerical tests and stability analysis, the accuracy and stability of the proposed schemes are verified.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Md. Rajib Arefin, Jun Tanimoto
Summary: Human behaviors are strongly influenced by social norms, and this study shows that injunctive social norms can lead to bi-stability in evolutionary games. Different games exhibit different outcomes, with some showing the possibility of coexistence or a stable equilibrium.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Dingyi Du, Chunhong Fu, Qingxiang Xu
Summary: A correction and improvement are made on a recent joint work by the second and third authors. An optimal perturbation bound is also clarified for certain 2 x 2 Hermitian matrices.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Pingrui Zhang, Xiaoyun Jiang, Junqing Jia
Summary: In this study, improved uniform error bounds are developed for the long-time dynamics of the nonlinear space fractional Dirac equation in two dimensions. The equation is discretized in time using the Strang splitting method and in space using the Fourier pseudospectral method. The major local truncation error of the numerical methods is established, and improved uniform error estimates are rigorously demonstrated for the semi-discrete scheme and full-discretization. Numerical investigations are presented to verify the error bounds and illustrate the long-time dynamical behaviors of the equation with honeycomb lattice potentials.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Kuan Zou, Wenchen Han, Lan Zhang, Changwei Huang
Summary: This research extends the spatial PGG on hypergraphs and allows cooperators to allocate investments unevenly. The results show that allocating more resources to profitable groups can effectively promote cooperation. Additionally, a moderate negative value of investment preference leads to the lowest level of cooperation.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Kui Du
Summary: This article introduces two new regularized randomized iterative algorithms for finding solutions with certain structures of a linear system ABx = b. Compared to other randomized iterative algorithms, these new algorithms can find sparse solutions and have better performance.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Shadi Malek Bagomghaleh, Saeed Pishbin, Gholamhossein Gholami
Summary: This study combines the concept of vanishing delay arguments with a linear system of integral-algebraic equations (IAEs) for the first time. The piecewise collocation scheme is used to numerically solve the Hessenberg type IAEs system with vanishing delays. Well-established results regarding regularity, existence, uniqueness, and convergence of the solution are presented. Two test problems are studied to verify the theoretical achievements in practice.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Qi Hu, Tao Jin, Yulian Jiang, Xingwen Liu
Summary: Public supervision plays an important role in guiding and influencing individual behavior. This study proposes a reputation incentives mechanism with public supervision, where each player has the authority to evaluate others. Numerical simulations show that reputation provides positive incentives for cooperation.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Werner M. Seiler, Matthias Seiss
Summary: This article proposes a geometric approach for the numerical integration of (systems of) quasi-linear differential equations with singular initial and boundary value problems. It transforms the original problem into computing the unstable manifold at a stationary point of an associated vector field, allowing efficient and robust solutions. Additionally, the shooting method is employed for boundary value problems. Examples of (generalized) Lane-Emden equations and the Thomas-Fermi equation are discussed.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Lisandro A. Raviola, Mariano F. De Leo
Summary: We evaluated the performance of novel numerical methods for solving one-dimensional nonlinear fractional dispersive and dissipative evolution equations and showed that the proposed methods are effective in terms of accuracy and computational cost. They can be applied to both irreversible models and dissipative solitons, offering a promising alternative for solving a wide range of evolutionary partial differential equations.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Yong Wang, Jie Zhong, Qinyao Pan, Ning Li
Summary: This paper studies the set stability of Boolean networks using the semi-tensor product of matrices. It introduces an index-vector and an algorithm to verify and achieve set stability, and proposes a hybrid pinning control technique to reduce computational complexity. The issue of synchronization is also discussed, and simulations are presented to demonstrate the effectiveness of the results obtained.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Ling Cheng, Sirui Zhang, Yingchun Wang
Summary: This paper considers the optimal capacity allocation problem of integrated energy systems (IESs) with power-gas systems for clean energy consumption. It establishes power-gas network models with equality and inequality constraints, and designs a novel full distributed cooperative optimal regulation scheme to tackle this problem. A distributed projection operator is developed to handle the inequality constraints in IESs. The simulation demonstrates the effectiveness of the distributed optimization approach.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Abdurrahim Toktas, Ugur Erkan, Suo Gao, Chanil Pak
Summary: This study proposes a novel image encryption scheme based on the Bessel map, which ensures the security and randomness of the ciphered images through the chaotic characteristics and complexity of the Bessel map.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Xinjie Fu, Jinrong Wang
Summary: In this paper, we establish an SAIQR epidemic network model and explore the global stability of the disease in both disease-free and endemic equilibria. We also consider the control of epidemic transmission through non-instantaneous impulsive vaccination and demonstrate the sustainability of the model. Finally, we validate the results through numerical simulations using a scale-free network.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Maria Han Veiga, Lorenzo Micalizzi, Davide Torlo
Summary: The paper focuses on the iterative discretization of weak formulations in the context of ODE problems. Several strategies to improve the accuracy of the method are proposed, and the method is combined with a Deferred Correction framework to introduce efficient p-adaptive modifications. Analytical and numerical results demonstrate the stability and computational efficiency of the modified methods.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
