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a. An Effective Technique for Solving Korteweg de-Vries Equation by Combination of Homotopy Perturbation Method and Pade Approximant
Conference proceeding   Peer reviewed

a. An Effective Technique for Solving Korteweg de-Vries Equation by Combination of Homotopy Perturbation Method and Pade Approximant

Farah Suraya Md Nasrudin, Shafaruniza Mahadi, Faisal Salah and Zainal Abdul Aziz
INTERNATIONAL CONFERENCE ON QUANTITATIVE SCIENCES AND ITS APPLICATIONS (ICOQSIA 2014), Vol.1635(1), pp.167-173
AIP Conference Proceedings
01/01/2014
DOI: https://doi.org/10.1063/1.4903579

Abstract

Physical Sciences Physics Physics, Applied Science & Technology
In this paper, the homotopy perturbation method (HPM) combined with Pade approximant is applied to generate the approximate analytical solution of Korteweg de-Vries (KdV) equation. The results show that the combined method gives highly accurate approximate analytical solution. It is also found that this method can achieve more suitable results in comparison to HPM alone. The approximate solution is also compared with the exact solution and it is found to be in good agreement.

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