Wavelet solution for nonlinear reaction-diffusion equations

Abstract

In this paper, we consider Fisher’s equation to find the approximate solution to overcome the difficulty to handle its nonlinearity. For solving this nonlinear PDE, we propose a method based on Legendre wavelets with lesser number of connection coefficients. We also study the theoretical analysis and error bound for the proposed technique. Two examples are tested with the proposed method to show the applicability and efficiency. The outcomes show that this approach fulfils the error bound conditions.