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

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.

Automated summary

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.