Journal
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
Volume 30, Issue 2, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218348X22400515
Keywords
Local Meshless Method; Radial Basis Function; Caputo Derivative; Nonlinear Time-Fractional Fisher Equations
Funding
- Anhui Provincial Natural Science Foundation [1908085QA09]
- Natural Science Research Project of Anhui Province [KJ2019A0591]
- National Natural Science Foundation of China [61673169]
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This paper presents a numerical solution method for nonlinear time-fractional Fisher equations using a local meshless method combined with explicit difference scheme. Radial basis functions are used to compute space derivatives, and the Caputo derivative scheme is used for time-fractional integration. The accuracy is evaluated using the maximum error norm, and the method is validated with non-rectangular domains.
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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