Conformable Reduced Differential Transform Method for Fractional Allen Cahn Equation

Abstract

In this manuscript, the Conformable Reduced Differential Transform Method was applied to obtain an approximate analytical solution of one dimensional time fractional Allen-Cahn equation subject to initial condition. This method provides an approximate analytical solution in the form of a convergent series. The scheme was tested through supportive examples and the obtained results were compared with previous works. Solutions were presented in graphical form and results indicate that the Conformable Reduced Differential Transform Method is more accurate, efficient, and convenient for solving one dimensional time fractional Allen-Cahn equation.