Article
Optics
Ying Chen, Min Zhang, Chunyan Xiao, Shaohua Li, Qiguang Zhu
Summary: A novel structure utilizing photonic crystal to achieve dual-Fano resonances is proposed to address the issue of differential sensitivity, showing promising sensing capabilities and the ability to eliminate interference factors, demonstrating its potential in practical applications.
Article
Multidisciplinary Sciences
James Malele, Phumlani Dlamini, Simphiwe Simelane
Summary: This study applies a high-order compact finite difference method to solve boundary value problems with Robin boundary conditions. New higher-order finite difference schemes for approximating Robin boundary conditions are developed. Six examples are used to test and compare the method's applicability and performance. The results demonstrate that the method produces highly accurate results.
Article
Mathematics, Applied
Xuan-ru Lu, Guang-Hua Gao, Zhi-Zhong Sun
Summary: This paper studies the fourth-order parabolic equations with different boundary value conditions and proposes corresponding difference schemes and interpolation formulas. The convergence, stability, and uniqueness of the numerical solutions are proved, and the results are validated through numerical experiments.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
(2023)
Article
Mathematics, Applied
Chinonso Nwankwo, Weizhong Dai
Summary: This paper presents fast and accurate predictor-corrector methods for pricing non-linear free boundary option problems. A high-order boundary scheme and a three-step high-order correction scheme are established to predict the optimal exercise boundary and compute the option value and delta sensitivity. The Thomas algorithm is used for fast computation, and the derived Robin boundary scheme corrects the exercise boundary value.
Article
Geosciences, Multidisciplinary
Xuhui Zhou, Jian Cao, Guangfu Wang, Jianfang Sun, Shoudong Huo
Summary: Near-surface anisotropy is a significant factor affecting static corrections, seismic imaging, and surface velocity building. This study proposes an adaptive parameter-related free surface implementation method for seismic wave forward modeling in anisotropic media. Through modifications of the original constitutive relation and density, the stress-free condition is achieved without additional computational requirements, resulting in accurate simulation results and improved computational efficiency.
JOURNAL OF APPLIED GEOPHYSICS
(2022)
Article
Mathematics, Applied
Chinonso Nwankwo, Weizhong Dai
Summary: In this research, a fourth-order non-uniform Hermitian differencing and a fifth-order adaptive time integration method are proposed for pricing system of free boundary exotic power put options. The proposed method achieves reasonable accuracy with very coarse grids and little runtime. It also requires fewer grid points for computing the near boundary point of the delta sensitivity and gamma. The results are compared with existing methods and the ones obtained from the uniform space grid.
Article
Physics, Fluids & Plasmas
Walter Poetz
Summary: This study explores the construction of Perfectly Matched Layer (PML) boundary conditions for the Dirac equation and general electromagnetic potentials. By extending PML to the partial differential equation and two versions of a staggered-grid finite-difference scheme, it is found that stability conditions are stricter than for the original scheme. Numerical tests show that PML offers improved wave absorption compared to the alternative imaginary-potential method.
Article
Physics, Multidisciplinary
Zengli Du, Jianjun Liu, Qilin Wu
Summary: In this study, an improved staggered grid method is used to numerically simulate 2D Rayleigh waves on any undulating surface, resulting in improved calculation efficiency without reducing simulation accuracy. This method is easy to implement and suitable for various surface conditions.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Polymer Science
Juliana Bertoco, Antonio Castelo, Luis L. Ferras, Celio Fernandes
Summary: This work introduces a novel numerical method for addressing three-dimensional unsteady free surface flows incorporating integral viscoelastic constitutive equations. The newly developed method has proven effective in handling complex fluid flow scenarios and a semi-analytical solution for the velocity and stress fields of the fluid in a pipe has also been derived.
Article
Thermodynamics
H. F. Wong, N. Ahmad, Z. Siri, N. F. M. Noor
Summary: The study investigates the effects of viscous heating and cooling process in a lid-driven cavity with both no-slip and free-slip boundary conditions enforced using Robin boundary condition. The numerical simulation involves solving the governing equations of time-dependent vorticity-stream function and thermal energy equation with a finite difference method. It is found that under free-slip boundary conditions, fluid movement at high Reynolds numbers can generate significant viscous heating at the beginning of the cooling process.
CASE STUDIES IN THERMAL ENGINEERING
(2021)
Correction
Thermodynamics
H. F. Wong, N. Ahmad, Z. Siri, N. F. M. Noor
Summary: This study numerically investigates the effects of no-slip and free-slip boundary conditions on the walls of a lid-driven cavity. Viscous heating and cooling processes are observed when the shear force on the top lid is removed, causing the cavity to undergo natural convection. The study utilizes a finite difference method to solve the governing equations and observes the dissipation of viscous heating into the ambient environment. Validation of the numerical model is performed and the results show different temperature profiles for the two boundary conditions.
CASE STUDIES IN THERMAL ENGINEERING
(2023)
Article
Computer Science, Interdisciplinary Applications
Oriol Colomes, Alex Main, Leo Nouveau, Guglielmo Scovazzi
Summary: The Shifted Boundary Method (SBM) is an unfitted finite element method used for various equations, avoiding issues by reformulating the boundary value problem. Accuracy is maintained by modifying original boundary conditions using Taylor expansions, and by appropriately weighting the variational form with the elemental volume fraction.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Mathematics, Applied
Gustav Eriksson, Ken Mattsson
Summary: This paper presents the solution of the pressure-velocity formulation of the incompressible Navier-Stokes equations using high-order finite difference operators. Two methods for imposing Dirichlet boundary conditions are introduced and proven to be stable. The accuracy and convergence of the methods are verified through theoretical analysis and numerical experiments.
JOURNAL OF SCIENTIFIC COMPUTING
(2022)
Article
Mathematics, Applied
Jiadong Qiu, Danfu Han, Hao Zhou
Summary: In this paper, a high-order compact finite difference scheme is proposed for numerically solving the coupled Schrodinger-KdV equations. The proposed scheme is decoupled and preserves several physical invariants in a discrete sense. The matrices obtained in the eighth-order compact scheme are all circulant symmetric positive definite, making it applicable to solving similar equations. Numerical experiments on model problems demonstrate the superior performance of the scheme compared to other numerical schemes.
Article
Chemistry, Physical
Jaroslaw Jedrysiak
Summary: This paper focuses on the behavior of thin elastic periodic plates with a microstructure and the effect of microstructure size on their behavior. The tolerance modelling method is utilized to obtain model equations with constant coefficients dependent on microstructure size. The analysis includes formulas for fundamental lower-order and higher-order vibration frequencies related to the microstructure, with comparisons to FEM results.
Article
Mechanics
M. Pakseresht, R. Ansari, M. K. Hassanzadeh-Aghdam
Summary: This paper discusses a coating solution for protecting titanium-based composites and utilizes the Mori-Tanaka method to determine the properties of the composite. The experimental results show that an increase in the thickness of the carbon coating has a negative effect on the elastic properties and stress-strain curve of the composite.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mechanics
Mahdi Salehi, Raheb Gholami, Reza Ansari
Summary: This study presents an analytical solution approach to examine the nonlinear vibration of geometrically imperfect functionally graded porous circular cylindrical shells reinforced with graphene platelets (GPL) surrounded on an elastic foundation. The effective mechanical properties of considered functionally graded graphene platelet-reinforced porous nanocomposites are characterized via a micromechanical model. The nonlinear frequency response curves are obtained with the use of the method of multiple scales.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Acoustics
Hamed Hatami, Ahmad Bagheri, Reza Ansari
Summary: This article comprehensively analyzes the free vibration of beam-type liquid micro-pump using a free boundary approach and employs the Newmark method to obtain the natural frequencies, mode shapes, and fluid oscillations of the coupled system. The comparison between free and fixed boundary methods reveals a slight deviation in natural frequency for small oscillations of the Euler-Bernoulli micro-beam, which can be negligible.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Mechanics
S. Nesarhosseini, R. Ansari, M. Faraji Oskouie, H. Rouhi
Summary: In this paper, the free vibrations of beam-type structures subjected to rapid heating are analyzed using micropolar thermoelasticity. The equations of motion are derived based on the micropolar elasticity theory and the Timoshenko beam theory. The heat equation is modeled using the transient 1D Fourier-type heat conduction equation. The numerical approach utilizes matrix representation and the Newmark algorithm in time domain, as well as generalized differential quadrature and variational differential quadrature techniques in space domain. The effects of thermal shock and geometrical parameters on the thermally induced vibrations are investigated.
Article
Materials Science, Multidisciplinary
Yasin Keramati, Reza Ansari, Mohammad Kazem Hassanzadeh-Aghdam
Summary: This research investigates the effect of adding graphene nano-sheets (GNSs) on the elastic and piezoelectric responses of PZT-7A piezoelectric fiber/polyimide hybrid composites. It develops a nested micromechanical modeling strategy to predict the effective properties of these composites and performs parametric studies to examine the influences of various factors. The results show that the uniform dispersion of GNSs improves the elastic and piezoelectric properties, while agglomeration has a negative effect on the properties.
JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES
(2023)
Article
Chemistry, Physical
M. Eghbalian, R. Ansari, S. Haghighi
Summary: The tensile properties and fracture mechanism of hydroxyl-functionalized silicon carbide nanotubes (O-fSiCNTs) inserted into polymer matrices were studied using molecular dynamics (MD) simulations based on the notion of representative volume elements (RVEs). The incorporation of chemisorbed nanotubes in polymers significantly enhances their mechanical properties. The O-fSiCNTs/PE and O-fSiCNTs/PP demonstrate lower Young's modulus, maximum stress, and strain energy compared to the O-fCNTs/PE and O-fCNTs/PP. The zigzag O-fSiCNTs/polymer exhibit lower bearable maximum strains in response to loads as opposed to the O-fCNTs/polymer.
MOLECULAR SIMULATION
(2023)
Article
Physics, Multidisciplinary
M. Bazdid-Vahdati, R. Ansari, A. Darvizeh
Summary: This paper presents two hyperelastic models for micromorphic hyperelasticity, which are suitable for materials with high dependence on the microdeformation gradient. Two new strain measures based on the microdeformation gradient are introduced and used in the hyperelastic formulation. The developed formulation allows for clear discussion of the dependency on the microdeformation gradient and the formulation of various types of hyperelastic models using the defined strain measures.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Mechanics
Alireza Beheshti, Reza Ansari
Summary: The current work focuses on analyzing the large deformation of shells made of a transversely isotropic material. A higher-order shell model is used to derive strains and extract the stress field of a hyperelastic medium. The weak form is obtained by utilizing the principle of virtual work. A four-node shell element is developed to address locking issues and incorporate transverse shear, membrane, and curvature-thickness locking for a compressible anisotropic medium. Several examples are presented to demonstrate the performance of the proposed element and the effects of anisotropy.
Article
Physics, Multidisciplinary
Y. Gholami, R. Ansari, R. Gholami
Summary: This paper examines the free vibration of single-layered graphene sheets (SLGSs) subjected to compressive in-plane loads and embedded in a Winkler-Pasternak elastic medium. It uses the high-order Cauchy-Born (HCB) method, hyperelastic membrane and second gradient elasticity theory to provide a mathematical formulation. The variational differential quadrature (VDQ) method and Hamilton's principles are applied to obtain a set of discretized governing equations of motion.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Engineering, Civil
R. Ansari, M. Zargar Ershadi, H. Akbardoost Laskoukalayeh, M. Faraji Oskouie, H. Rouhi
Summary: The nonlinear vibration response of rectangular plates made of functionally graded porous materials induced by hygrothermal loading is investigated in this article using a numerical approach. The effects of elastic foundation and hygroscopic stresses are taken into account, and the temperature-dependent material properties are computed. The temporal evolution of maximum lateral deflection is obtained using the generalized differential quadrature method and Newmark integration method, and the influences of various factors on the vibrations are studied.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2023)
Article
Materials Science, Multidisciplinary
Elaheh Kabeh Rahnama, Reza Ansari, Mohammad Kazem Hassanzadeh-Aghdam
Summary: This article investigates the effect of graphene nanoadditives on the fatigue limit of glass fiber-reinforced polymer composites. The study finds that the uniform dispersion of graphene nanosheets can improve the fatigue limit of the composites.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART L-JOURNAL OF MATERIALS-DESIGN AND APPLICATIONS
(2023)
Article
Computer Science, Interdisciplinary Applications
Peyman Aghdasi, Shayesteh Yousefi, Reza Ansari
Summary: This paper uses DFT and FEM to study the elastic, vibrational and buckling properties of monolayer bismuthene. The developed model accurately predicts Young's modulus of the monolayer bismuthene. The influence of the vertical side length on the fundamental natural frequency is negligible, while vibrational characteristics are significantly affected by the horizontal side length.
ENGINEERING COMPUTATIONS
(2023)
Article
Engineering, Civil
R. Ansari, M. Zargar Ershadi, H. Akbardoost Laskoukalayeh, H. Rouhi
Summary: This article develops a numerical approach to study the geometrically nonlinear vibrations of annular sector plates made of functionally graded materials (FGMs) due to cooling shock. The effects of various parameters on the large-amplitude vibrations of annular sector plates are investigated through numerical simulations.
THIN-WALLED STRUCTURES
(2023)
Article
Mechanics
Hamidreza Yademellat, Reza Ansari, Abolfazl Darvizeh, Jalal Torabi, Ali Zabihi
Summary: This study investigates the size-dependent dynamic pull-in instability of piezoelectrically and electrostatically actuated micro/nanobeams using the nonlocal strain gradient theory. The effects of flexoelectricity and piezoelectricity are considered, and various nonlinear forces are taken into account. The analysis method used in this study improves the reliability of the research model by comparing the results with existing literature.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mechanics
M. Rasoolpoor, R. Ansari, M. K. Hassanzadeh-Aghdam
Summary: This study investigates the low velocity impact behavior of multi-walled carbon nanotube (MWCNT)-aluminum (Al) nanocomposite plates. The material properties of the nanocomposites are obtained using the rule of mixture, considering microstructural features of MWCNTs such as quantity, aspect ratio, alignment, waviness, and agglomeration. The finite element method is utilized to analyze the dynamic behavior of the plates. The results show that the addition of MWCNTs increases contact force and decreases plate center deflection and impact duration. Higher volume fraction, aspect ratio, straight shape, and uniform dispersion of MWCNTs lead to lesser center deflection in the nanocomposite plates.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(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)
