Approximate analytical solution to time fractional nonlinear evolution equations
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 14 September 2012
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.
Keywords
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
Publisher
:Emerald Group Publishing Limited
Copyright © 2012, Emerald Group Publishing Limited