NUMERICAL SOLUTION OF TRAVELING WAVES IN CHEMICAL KINETICS: TIME-FRACTIONAL FISHERS EQUATIONS-Reference-Cited by-同舟云学术

NUMERICAL SOLUTION OF TRAVELING WAVES IN CHEMICAL KINETICS: TIME-FRACTIONAL FISHERS EQUATIONS

Published:2022-02-03 Issue: Volume: Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

WANG FUZHANG¹²,KHAN MUHAMMAD NAWAZ³,AHMAD IMTIAZ⁴,AHMAD HIJAZ³,ABU-ZINADAH HANAA⁵,CHU YU-MING⁶⁷

Affiliation:

1. College of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221018, P. R. China

2. College of Mathematics, Huaibei Normal University, Huaibei 235000, P. R. China

3. Department of Basic Sciences, University of Engineering and Technology Peshawar, Peshawar, Pakistan

4. Department of Mathematics, University of Swabi, Swabi, Khyber Pakhtunkhwa, Pakistan

5. Department of Statistics, College of Science, University of Jeddah, Jeddah, Saudi Arabia

6. Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China

7. Institute for Advanced Study Honoring, Chen Jian Gong, Hangzhou Normal University, Hangzhou 311121, P. R. China

Abstract

This paper addresses the numerical solution of nonlinear time-fractional Fisher equations via local meshless method combined with explicit difference scheme. This procedure uses radial basis functions to compute space derivatives while Caputo derivative scheme utilizes for time-fractional integration to semi-discretize the model equations. To assess the accuracy, maximum error norm is used. In order to validate the proposed method, some non-rectangular domains are also considered.

Funder

Anhui Provincial Natural Science Foundation

Natural Science Research Project of Anhui Province

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22400515

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