Using homotopy-WHEP technique in solving nonlinear diffusion equation with stochastic no homogeneity

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

doi:10.1007/978-3-642-11389-5_3

Using homotopy-WHEP technique in solving nonlinear diffusion equation with stochastic no homogeneity

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

In this paper, the diffusion equation under square and cubic nonlinearities and stochastic no homogeneity is solved using the Homotopy-WHEP technique. The use of the homotopy perturbation method in WHEP technique is introduced to deal with non-perturbative systems. The new technique is then used to solve the nonlinear diffusion equation with making comparisons with Homotopy perturbation method (HPM). The method of analysis is illustrated through case studies.

Original language	English (US)
Title of host publication	Transactions on Computational Science VII
Editors	Marina L. Gavrilova, C.J. Kenneth Tan
Pages	51-67
Number of pages	17
DOIs	https://doi.org/10.1007/978-3-642-11389-5_3
State	Published - 2010
Externally published	Yes

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	5890 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Keywords

Homotopy Perturbation Method (HPM)
Stochastic nonlinear diffusion equation
WHEP technique

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

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10.1007/978-3-642-11389-5_3

Cite this

El-Tawil, M. A., & Al-Mulla, N. A. (2010). Using homotopy-WHEP technique in solving nonlinear diffusion equation with stochastic no homogeneity. In M. L. Gavrilova, & C. J. K. Tan (Eds.), Transactions on Computational Science VII (pp. 51-67). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5890 LNCS). https://doi.org/10.1007/978-3-642-11389-5_3

El-Tawil, Magdy A. ; Al-Mulla, Noha A. / Using homotopy-WHEP technique in solving nonlinear diffusion equation with stochastic no homogeneity. Transactions on Computational Science VII. editor / Marina L. Gavrilova ; C.J. Kenneth Tan. 2010. pp. 51-67 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Using homotopy-WHEP technique in solving nonlinear diffusion equation with stochastic no homogeneity",

abstract = "In this paper, the diffusion equation under square and cubic nonlinearities and stochastic no homogeneity is solved using the Homotopy-WHEP technique. The use of the homotopy perturbation method in WHEP technique is introduced to deal with non-perturbative systems. The new technique is then used to solve the nonlinear diffusion equation with making comparisons with Homotopy perturbation method (HPM). The method of analysis is illustrated through case studies.",

keywords = "Homotopy Perturbation Method (HPM), Stochastic nonlinear diffusion equation, WHEP technique",

author = "El-Tawil, {Magdy A.} and Al-Mulla, {Noha A.}",

year = "2010",

doi = "10.1007/978-3-642-11389-5_3",

language = "English (US)",

isbn = "9783642113888",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

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booktitle = "Transactions on Computational Science VII",

}

El-Tawil, MA & Al-Mulla, NA 2010, Using homotopy-WHEP technique in solving nonlinear diffusion equation with stochastic no homogeneity. in ML Gavrilova & CJK Tan (eds), Transactions on Computational Science VII. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 5890 LNCS, pp. 51-67. https://doi.org/10.1007/978-3-642-11389-5_3

Using homotopy-WHEP technique in solving nonlinear diffusion equation with stochastic no homogeneity. / El-Tawil, Magdy A.; Al-Mulla, Noha A.
Transactions on Computational Science VII. ed. / Marina L. Gavrilova; C.J. Kenneth Tan. 2010. p. 51-67 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5890 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Using homotopy-WHEP technique in solving nonlinear diffusion equation with stochastic no homogeneity

AU - El-Tawil, Magdy A.

AU - Al-Mulla, Noha A.

PY - 2010

Y1 - 2010

N2 - In this paper, the diffusion equation under square and cubic nonlinearities and stochastic no homogeneity is solved using the Homotopy-WHEP technique. The use of the homotopy perturbation method in WHEP technique is introduced to deal with non-perturbative systems. The new technique is then used to solve the nonlinear diffusion equation with making comparisons with Homotopy perturbation method (HPM). The method of analysis is illustrated through case studies.

AB - In this paper, the diffusion equation under square and cubic nonlinearities and stochastic no homogeneity is solved using the Homotopy-WHEP technique. The use of the homotopy perturbation method in WHEP technique is introduced to deal with non-perturbative systems. The new technique is then used to solve the nonlinear diffusion equation with making comparisons with Homotopy perturbation method (HPM). The method of analysis is illustrated through case studies.

KW - Homotopy Perturbation Method (HPM)

KW - Stochastic nonlinear diffusion equation

KW - WHEP technique

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DO - 10.1007/978-3-642-11389-5_3

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AN - SCOPUS:77951987475

SN - 9783642113888

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 51

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BT - Transactions on Computational Science VII

A2 - Gavrilova, Marina L.

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ER -

El-Tawil MA, Al-Mulla NA. Using homotopy-WHEP technique in solving nonlinear diffusion equation with stochastic no homogeneity. In Gavrilova ML, Tan CJK, editors, Transactions on Computational Science VII. 2010. p. 51-67. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-642-11389-5_3

Using homotopy-WHEP technique in solving nonlinear diffusion equation with stochastic no homogeneity

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