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

Fuzhang Wang, Muhammad Nawaz Khan, Imtiaz Ahmad, Hijaz Ahmad, Hanaa Abu-Zinadah and Yu-Ming Chu
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Fuzhang Wang: College of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221018, P. R. China†College of Mathematics, Huaibei Normal University, Huaibei 235000, P. R. China
Muhammad Nawaz Khan: ��Department of Basic Sciences, University of Engineering and Technology Peshawar, Peshawar, Pakistan
Imtiaz Ahmad: �Department of Mathematics, University of Swabi, Swabi, Khyber Pakhtunkhwa, Pakistan
Hijaz Ahmad: ��Department of Basic Sciences, University of Engineering and Technology Peshawar, Peshawar, Pakistan
Hanaa Abu-Zinadah: �Department of Statistics, College of Science, University of Jeddah, Jeddah, Saudi Arabia
Yu-Ming Chu: ��Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China**Institute for Advanced Study Honoring, Chen Jian Gong, Hangzhou Normal University, Hangzhou 311121, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 02, 1-11

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.

Keywords: Local Meshless Method; Radial Basis Function; Caputo Derivative; Nonlinear Time-Fractional Fisher Equations (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (7)

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DOI: 10.1142/S0218348X22400515

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