NUMERICAL SOLUTION OF TRAVELING WAVES IN CHEMICAL KINETICS: TIME-FRACTIONAL FISHERS EQUATIONS
Fuzhang WangCollege of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221018, P. R. ChinaMuhammad Nawaz KhanDepartment of Basic Sciences, University of Engineering and Technology Peshawar, Peshawar, PakistanImtiaz AhmadDepartment of Mathematics, University of Swabi, Swabi, Khyber Pakhtunkhwa, PakistanHijaz AhmadDepartment of Basic Sciences, University of Engineering and Technology Peshawar, Peshawar, PakistanHanaa Abu-ZinadahDepartment of Statistics, College of Science, University of Jeddah, Jeddah, Saudi ArabiaYu‐Ming ChuDepartment of Mathematics, Huzhou University, Huzhou 313000, P. R. China
2021en
ABI
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.
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Cited by 40 references