A Coupled Method for Solving a Class of Time Fractional Convection-Diffusion Equations with Variable Coefficients

Abstract

In this article, a coupled method based on the Laplace and differential transformations is applied to solve a class of time fractional convection-diffusion equations. The fractional derivatives are described in the Caputo sense. The method consists of implementing the Laplace transformation at first, then performing the differential transform method (DTM) on the resulting equations. Several examples are given to validate the proposed method.