Quantum mechanics

Discretization

Norm (philosophy)

Spacetime

Applied mathematics

Economics

Finite difference scheme

Mathematical optimization

Physics

Nonlinear system

Mathematics

Political science

Mathematical analysis

Traveling wave

Financial economics

Time derivative

Fractional calculus

Derivative (finance)

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