Fourier-Gegenbauer pseudospectral method for solving time-dependent one-dimensional fractional partial differential equations with variable coefficients and periodic solutions-Reference-Cited by-同舟云学术

Fourier-Gegenbauer pseudospectral method for solving time-dependent one-dimensional fractional partial differential equations with variable coefficients and periodic solutions

Published:2024-04 Issue: Volume:218 Page:544-555
ISSN:0378-4754
Container-title:Mathematics and Computers in Simulation
language:en
Short-container-title:Mathematics and Computers in Simulation

Author:

Elgindy Kareem T.

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,General Computer Science,Theoretical Computer Science

Reference37 articles.

1. Investigation of adequate closed form travelling wave solution to the space-time fractional non-linear evolution equations;Arefin;J. Ocean Eng. Sci.,2022

2. Applications of fractional partial differential equations for MHD casson fluid flow with innovative ternary nanoparticles;Asjad;Processes,2023

3. Numerical Methods in Scientific Computing. Vol. II;Björck,2008

4. On periodic solutions of fractional-order differential systems with a fixed length of sliding memory;Bourafa;J. Innov. Appl. Math. Comput. Sci.,2021

5. Chebyshev and Fourier Spectral Methods;Boyd,2001

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fourier–Gegenbauer pseudospectral method for solving periodic fractional optimal control problems;Mathematics and Computers in Simulation;2024-11

2. Direct integral pseudospectral and integral spectral methods for solving a class of infinite horizon optimal output feedback control problems using rational and exponential Gegenbauer polynomials;Mathematics and Computers in Simulation;2024-05