Numerical Solution of Gray Scott Reaction-Diffusion Equation using LagrangePolynomial

Abstract

Abstract In this paper, numerical solution of one dimensional Gray-Scott equation is obtained using Lagrange Polynomial with Differential Quadrature Method (DQM). After using DQM the considered equation converted into set of ODEs which further can be solved using Range-Kutta method. The efficiency and accuracy of the method is to be checked by using L ∞ and L 2 errors. The obtained numerical results are shown with help of 2D and 3D figures.