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Zbl 1205.65289
Mohyud-Din, Syed Tauseef; Yildirim, Ahmet; Hosseini, Syed Mohammad Mahdi
Numerical comparison of methods for Hirota-Satsuma model. (English)
[J] Appl. Appl. Math. 5, No. 10, 1554-1563, electronic only (2010). ISSN 1932-9466/e

Summary: This paper outlines the implementation of the modified decomposition method (MDM) to solve a very important physical model namely Hirota-Satsuma model which occurs quite often in applied sciences. Numerical results and comparisons with homotopy perturbation (HPM) and Adomian's decomposition (ADM) methods explicitly reveal the complete reliability of the proposed MDM. It is observed that the suggested algorithm (MDM) is more user-friendly and is easier to implement compared to HPM and ADM.

MSC 2000:: *65M99 Numerical methods for IVP of PDE
35Q53 KdV-like equations

Keywords: modified decomposition method; Hirota-Satsuma coupled KdV systems; nonlinear problems; homotopy perturbation method; Adomian's polynomials

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