A Comparison between Modified Sumudu Decomposition Method and Homotopy Perturbation Method - Applied Mathematics

AM > Vol.9 No.3, March 2018

A Comparison between Modified Sumudu Decomposition Method and Homotopy Perturbation Method ()

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DOI: 10.4236/am.2018.93014 912 Downloads 1,790 Views Citations

Author(s)

Shams A. Ahmed^1,2

Affiliation(s)

¹Department of Mathematic, Faculty of Sciences and Arts-Tubarjal, Aljouf University, Al Jawf, KSA.
²Department of Mathematics, Faculty of Mathematics and Computer Sciences, University of Gezira, Wad Madani, Sudan.

ABSTRACT

In this paper, we present a comparative study between the modified Sumudu decomposition method (MSDM) and homotopy perturbation method (HPM). The study outlines the important features of the two methods. The analysis will be explained by discussing the nonhomogeneous Kortewege-de Vries (KdV) problems.

KEYWORDS

The Sumudu Decomposition Method, The Homotopy Perturbation Method, Kortewege-de Vries (KdV) Problems

Share and Cite:

Ahmed, S. (2018) A Comparison between Modified Sumudu Decomposition Method and Homotopy Perturbation Method. Applied Mathematics, 9, 199-206. doi: 10.4236/am.2018.93014.

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