Numerical soliton solutions of improved Boussinesq equation
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 20 September 2011
Abstract
Purpose
The purpose of this paper is to use the homotopy perturbation method (HPM) to obtain numerical soliton solution of the improved Boussinesq equation (IBE). The solutions are calculated in the form of a convergent power series with easily computable components.
Design/methodology/approach
The HPM is used to obtain numerical soliton solution of the IBE. The solutions are calculated in the form of a convergent power series with easily computable components.
Findings
The errors are obtained by using the approximate solution given by using only two iterations of the HPM. It is evident that the efficiency of this approach can be dramatically enhanced by computing further terms of approximate solution.
Originality/value
The numerical results presented in the paper show that only a few terms are sufficient to obtain accurate solutions.
Keywords
Citation
Tauseef Mohyud‐Din, S., Yıldırım, A. and Anıl Sezer, S. (2011), "Numerical soliton solutions of improved Boussinesq equation", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 21 No. 7, pp. 822-827. https://doi.org/10.1108/09615531111162800
Publisher
:Emerald Group Publishing Limited
Copyright © 2011, Emerald Group Publishing Limited