Approximate analytical solution to time fractional nonlinear evolution equations

Abstract

Purpose

The purpose of this paper is to develop a scheme to study numerical solution of time fractional nonlinear evolution equations under initial conditions by reduced differential transform method.

Design/methodology/approach

The paper considers two models of special interest in physics with fractional‐time derivative of order, namely, the time fractional mKdV equation and time fractional convection diffusion equation with nonlinear source term.

Findings

The numerical results demonstrate the significant features, efficiency and reliability of the proposed method and the effects of different values are shown graphically.

Originality/value

The paper shows that the results obtained from the fractional analysis appear to be general.

Citation

Abdou, M.A. and Yildirim, A. (2012), "Approximate analytical solution to time fractional nonlinear evolution equations", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 22 No. 7, pp. 829-838. https://doi.org/10.1108/09615531211255734