Numerical solution of time‐fraction modified equal width wave equation

Abstract

Purpose

The purpose of this paper is to show how an application of fractional two dimensional differential transformation method (DTM) obtained approximate analytical solution of time‐fraction modified equal width wave (MEW) equation.

Design/methodology/approach

The fractional derivative is described in the Caputo sense.

Findings

It is indicated that the solutions obtained by the two dimensional DTM are reliable and that this is an effective method for strongly nonlinear partial equations.

Originality/value

The paper shows that exact solutions can also be obtained from the known forms of the series solutions.

Citation

Merdan, M., Yildirim, A. and Gökdoğan, A. (2012), "Numerical solution of time‐fraction modified equal width wave equation", Engineering Computations, Vol. 29 No. 7, pp. 766-777. https://doi.org/10.1108/02644401211257254