Article
Engineering, Multidisciplinary
Imran Talib, Fahd Jarad, Muhammad Umar Mirza, Asma Nawaz, Muhammad Bilal Riaz
Summary: This paper presents a computational approach based on operational matrices and orthogonal shifted Legendre polynomials for numerically solving multi-order partial differential equations of fractional order with mixed partial derivative terms. The efficiency and numerical stability of the method are examined through various test examples, by reducing the fractional problems to Sylvester types matrix equations solved using MATLAB built-in function.
ALEXANDRIA ENGINEERING JOURNAL
(2022)
Article
Mathematics
Qiong Wang, Qi Han, Wei Chen
Summary: This paper studies the meromorphic solutions to the generalized Fermat Diophantine functional equations and associated partial differential equations.
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
(2022)
Article
Mathematical & Computational Biology
Douglas R. M. Azevedo, Marcos O. Prates, Dipankar Bandyopadhyay
Summary: This article introduces a two-step approach to address spatial confounding and demonstrates its advantages over alternative methods through simulation studies and real-life application.
Article
Computer Science, Interdisciplinary Applications
Jumana H. S. Alkhalissi, Ibrahim Emiroglu, Mustafa Bayram, Aydin Secer, Fatih Tasci
Summary: This article presents a method based on generalized Gegenbauer-Humbert wavelets and fractional integration operational matrices to solve fractional partial differential equations and obtain their approximate solutions. The effectiveness and accuracy of the proposed method are established by comparing it with other methods and analyzing the numerical results.
ENGINEERING WITH COMPUTERS
(2023)
Article
Environmental Sciences
Isa Marques, Thomas Kneib, Nadja Klein
Summary: This article investigates the issue of spatial confounding in spatial regression models and develops a computationally efficient spatial model to reduce spatial confounding. Simulation studies and real data application demonstrate that the proposed model performs better than traditional methods in interpreting the effects of covariates in spatial regression models.
Article
Materials Science, Multidisciplinary
Fushun Liu, Yuqiang Feng
Summary: This paper presents a modified version of the generalized Kudryashov method for obtaining exact solutions of fractional partial differential equations of Schrodinger type. The method involves transforming the equations into a set of ordinary differential equations using the fractional complex transform and then solving them using the modified version of the generalized Kudryashov method. The obtained results are used to derive the traveling wave solutions of the equations, which are then analyzed, including kink waves and singular kink waves.
RESULTS IN PHYSICS
(2023)
Article
Mathematics, Applied
T. Prathap, R. Nageshwar Rao
Summary: This paper presents exponentially fitted finite difference methods for singularly perturbed one-dimensional parabolic partial differential equation with mixed shifts in the spatial variable. The methods are based on the size of the shift parameter and have been checked for convergence. Test problems are solved to demonstrate the applicability, and graphs are plotted to illustrate the effect of the shifts on the solution.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
(2023)
Article
Engineering, Electrical & Electronic
Ruey-Yi Wei, Shih-Lun Chen, Yu-Hung Lin, Bing-Chien Chen
Summary: This paper proposes a new generalized differential spatial modulation scheme that uses symbol interleaving on differential space-time modulation, resulting in higher data rates. Low-complexity detectors for both schemes are also proposed.
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY
(2023)
Article
Mathematics, Applied
Khalid K. Ali, Mohamed A. Abd El Salam, Mohamed S. Mohamed
Summary: This paper proposes a numerical scheme to solve generalized space fractional partial differential equations (GFPDEs) using Shifted Chebyshev fifth-kind polynomials with the spectral collocation approach. The proposed method shows high accuracy and simplicity in implementation. It reduces the GFPDEs to a system of differential equations that can be solved numerically, using a combination of the Chebyshev collocation method and the finite difference method. Numerical approximations performed by the method are compared with other numerical methods, and the results demonstrate that the proposed method is effective.
Article
Computer Science, Interdisciplinary Applications
Liyao Lyu, Zhen Zhang, Minxin Chen, Jingrun Chen
Summary: In recent years, there has been a significant focus on solving partial differential equations (PDEs) using deep learning techniques. This study introduces a deep mixed residual method (MIM) for solving PDEs with high-order derivatives. The MIM approach provides better approximations than traditional numerical methods in many cases and exhibits interesting connections with them.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Engineering, Electrical & Electronic
Deepak Jose, S. M. Sameer
Summary: Differential modulation schemes play a crucial role in receivers with power and processing limitations by improving spectral efficiency. The proposed schemes in this study use fewer antennas and lower order modulation schemes to achieve higher bit error rate performance.
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY
(2021)
Article
Statistics & Probability
Francis K. C. Hui, Howard D. Bondell
Summary: Spatial confounding is a contentious research area in spatial statistics, primarily focused on spatial mixed models but also relevant in the context of generalized estimating equations (GEEs). To address spatial confounding, a restricted spatial working correlation matrix is proposed to estimate a partitioned covariate effect in GEEs.
AMERICAN STATISTICIAN
(2022)
Article
Computer Science, Interdisciplinary Applications
Ali C. Bekar, Erdogan Madenci
Summary: This study introduces an approach to identify significant terms in PDEs based on measured data using linear regression model, PDDO, and sparse linear regression learning algorithm. The solution is achieved through Douglas-Rachford algorithm with regularization, demonstrating effectiveness in handling challenging nonlinear PDEs.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Mathematics, Applied
Davide Palitta
Summary: This study presents a novel solution strategy for addressing the discrete operator issues arising from the time-space discretization of evolutionary partial differential equations, efficiently solving problems with a large number of degrees of freedom while maintaining low storage demand.
JOURNAL OF SCIENTIFIC COMPUTING
(2021)
Article
Mathematics, Applied
S. S. Santra, S. Priyadharshini, V. Sadhasivam, J. Kavitha, U. Fernandez-Gamiz, S. Noeiaghdam, K. M. Khedher
Summary: This article investigates the oscillatory behavior of solutions to conformable elliptic partial differential equations of the Emden-Fowler type. By employing the Riccati method, new necessary conditions for the oscillation of all solutions are established. These findings build upon previous results for integer order equations and are further illustrated through an example.
Article
Biology
Trevor J. Hefley, Mevin B. Hooten, Ephraim M. Hanks, Robin E. Russell, Daniel P. Walsh
JOURNAL OF AGRICULTURAL BIOLOGICAL AND ENVIRONMENTAL STATISTICS
(2017)
Article
Ecology
Mevin B. Hooten, Henry R. Scharf, Trevor J. Hefley, Aaron T. Pearse, Mitch D. Weegman
METHODS IN ECOLOGY AND EVOLUTION
(2018)
Article
Ecology
Robin E. Russell, Rachel C. Abbott, Daniel W. Tripp, Tonie E. Rocke
ECOLOGY AND EVOLUTION
(2018)
Article
Ecology
Robert J. Fletcher, Trevor J. Hefley, Ellen P. Robertson, Benjamin Zuckerberg, Robert A. McCleery, Robert M. Dorazio
Article
Biology
Nelson B. Walker, Trevor J. Hefley, Daniel P. Walsh
Article
Ecology
Robin E. Russell, Daniel W. Tripp, Tonie E. Rocke
ECOLOGY AND EVOLUTION
(2019)
Article
Ecology
Rebecca McCaffery, Robin E. Russell, Blake R. Hossack
Summary: The study of a boreal toad metapopulation in a wildlife refuge in northwestern Montana over 16 years found a significant decrease in new male invasions, leading to a decline in population size and a risk of near-extinction due to insufficient recruitment of new individuals to replace adults. This was attributed to interactions between hydrological restoration within the refuge, disease, life history, and other factors.
JOURNAL OF WILDLIFE MANAGEMENT
(2021)
Article
Immunology
Ana M. M. Stoian, Jeff Zimmerman, Ju Ji, Trevor J. Hefley, Scott Dee, Diego G. Diel, Raymond R. R. Rowland, Megan C. Niederwerder
EMERGING INFECTIOUS DISEASES
(2019)
Article
Immunology
Megan C. Niederwerder, Ana M. M. Stoian, Raymond R. R. Rowland, Steve S. Dritz, Vlad Petrovan, Laura A. Constance, Jordan T. Gebhardt, Matthew Olcha, Cassandra K. Jones, Ason C. Woodworth, Ying Fang, Jia Liang, Trevor J. Hefley
EMERGING INFECTIOUS DISEASES
(2019)
Article
Ecology
Trevor J. Hefley, Brian M. Brost, Mevin B. Hooten
METHODS IN ECOLOGY AND EVOLUTION
(2017)
Article
Ecology
Trevor J. Hefley, Mevin B. Hooten, Robin E. Russell, Daniel P. Walsh, James A. Powell
Article
Ecology
Perry J. Williams, Mevin B. Hooten, Jamie N. Womble, George G. Esslinger, Michael R. Bower, Trevor J. Hefley
Article
Ecology
Trevor J. Hefley, Kristin M. Broms, Brian M. Brost, Frances E. Buderman, Shannon L. Kay, Henry R. Scharf, John R. Tipton, Perry J. Williams, Mevin B. Hooten
Article
Geosciences, Multidisciplinary
Nicholas Grieshop, Christopher K. Wikle
Summary: We propose a Bayesian stochastic cellular automata modeling approach to model the spread of wildfires with uncertainty quantification. The model considers a dynamic neighborhood structure and captures additional spatial information, allowing for accurate prediction of fire states.
SPATIAL STATISTICS
(2024)