Comparison between the Homotopy Perturbation Method and Homotopy Perturbation Transform Method - Applied Mathematics

AM > Vol.9 No.2, February 2018

Applied Mathematics

Volume 9, Issue 2 (February 2018)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Comparison between the Homotopy Perturbation Method and Homotopy Perturbation Transform Method ()

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DOI: 10.4236/am.2018.92009 1,381 Downloads 4,312 Views Citations

Author(s)

Mohamed Elbadri^1,2

Affiliation(s)

¹Department of Mathematics, Al Jouf University, Tabarjal, KSA.
²Department of Mathematics, University of Gezira, Wad Madani, Sudan.

ABSTRACT

In this paper, comparison of homotopy perturbation method (HPM) and homotopy perturbation transform method (HPTM) is made, revealing that homotopy perturbation transform method is very fast convergent to the solution of the partial differential equation. For illustration and more explanation of the idea, some examples are provided.

KEYWORDS

Homotopy Perturbation Method (HPM), Laplace Transform

Share and Cite:

Elbadri, M. (2018) Comparison between the Homotopy Perturbation Method and Homotopy Perturbation Transform Method. Applied Mathematics, 9, 130-137. doi: 10.4236/am.2018.92009.

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