Analytical Approximate Solutions of Fractional Convection-Diffusion Equation by Means of Local Fractional Derivative Operators

Abstract

In this article, the local fractional decomposition method (LFDM) is applied to obtain approximate the analytical solution of nonlinear fractional convection-diffusion. Numerical solutions obtained by local fractional decomposition method are compared with the exact solutions, revealing that the obtained solutions are of high accuracy. A new application of local fractional decomposition method (LFDM) was extended to reproduce the analytical solutions to this equation in the form of a series. It is shown that the solutions obtained by the LFDM are reliable, simple and that LFDM is an effective method for strongly nonlinear partial equations.