The approximate solution of a nonlinear diffusion equation using some techniques, a comparison study

Magdy A. El-Tawil; Noha A. Al-Mulla

doi:10.1007/s12190-008-0130-8

The approximate solution of a nonlinear diffusion equation using some techniques, a comparison study

Magdy A. El-Tawil, Noha A. Al-Mulla

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper, the diffusion equation under square nonlinearity is solved using the WHEP technique, the Homotopy perturbation method (HPM) and Pickard approximation technique. Only the first order approximation is considered with making corrections in the WHEP case. The methods of solution are illustrated through figures, comparisons among different methods and some parametric studies.

Original language	English (US)
Pages (from-to)	281-299
Number of pages	19
Journal	Journal of Applied Mathematics and Computing
Volume	29
Issue number	1-2
DOIs	https://doi.org/10.1007/s12190-008-0130-8
State	Published - Jan 2009
Externally published	Yes

Keywords

Homotopy perturbation method HPM
Pickard approximation
Stochastic differential equations
WHEP technique

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/s12190-008-0130-8

Cite this

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title = "The approximate solution of a nonlinear diffusion equation using some techniques, a comparison study",

abstract = "In this paper, the diffusion equation under square nonlinearity is solved using the WHEP technique, the Homotopy perturbation method (HPM) and Pickard approximation technique. Only the first order approximation is considered with making corrections in the WHEP case. The methods of solution are illustrated through figures, comparisons among different methods and some parametric studies.",

keywords = "Homotopy perturbation method HPM, Pickard approximation, Stochastic differential equations, WHEP technique",

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AU - Al-Mulla, Noha A.

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AB - In this paper, the diffusion equation under square nonlinearity is solved using the WHEP technique, the Homotopy perturbation method (HPM) and Pickard approximation technique. Only the first order approximation is considered with making corrections in the WHEP case. The methods of solution are illustrated through figures, comparisons among different methods and some parametric studies.

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KW - Pickard approximation

KW - Stochastic differential equations

KW - WHEP technique

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The approximate solution of a nonlinear diffusion equation using some techniques, a comparison study

Abstract

Keywords

ASJC Scopus subject areas

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