Physics

Spacetime

Nonlinear system

Time derivative

Mathematics

Mathematical optimization

Engineering

Fractional calculus

Mathematical analysis

Political science

Norm (philosophy)

Finite difference scheme

Quantum mechanics

Discretization

Scheme (mathematics)

Applied mathematics

Traveling wave

Chemical engineering

Space time

Fractals

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.

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