Numerical Solution of Fisher’s Equation Using Rational Radial Basis Functions

In this paper, we present a numerical method for solving the Fisher’s equation using the rational radial basis functions (RRBF). We approximate the spatial derivativesby RRBF method then we advance the resulting semi-discrete system in time with an explicit fourth-order Runge-Kutta method. Finally to confirm the accuracy and efficiencyof the proposed method we present a numerical example.

Keywords:

Fisher’s Equation , Radial basis function , Rational radial basis function method , Runge-Kutta method.