Numerical soliton solutions of improved Boussinesq equation
Makaleler > Tam Makale · 2011
Yazarlar: Syed Tauseef MOHYUD-DIN, Ahmet YILDIRIM, Sefa Anil SEZER
International Journal of Numerical Methods for Heat & Fluid Flow, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2011, cilt 21, ss 822-827
DOI: 10.1108/09615531111162800
Özet
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.