Numerical Computation of Nonlinear Fisher’s Reaction–Diffusion Equation with Exponential Modified Cubic B-Spline Differential Quadrature Method

摘要

AbstractIn this paper, an exponential modified cubic B-spline differential quadrature algorithm is proposed for nonlinear one dimensional Fisher’s reaction–diffusion equation. The proposed method reduces the Fisher’s equation into a system of first order ordinary differential equations which is solved by using Runge–Kutta method. The accurateness and effectiveness of the method is tested by taking three numerical problems. The numerical results of the method are compared with the exact solutions and also compared with earlier published results. It is found that the proposed method produces more accurate results than results available in the literature. Straightforward and the economical implementation is main advantage of the method.]]>