Using Homotopy WHEP technique for solving a stochastic nonlinear diffusion equation

Magdy A. El-Tawil; Noha Almulla

doi:10.1016/j.mcm.2010.01.013

Using Homotopy WHEP technique for solving a stochastic nonlinear diffusion equation

Magdy A. El-Tawil^*, Noha Almulla

^*Corresponding author for this work

Computer, Electrical and Mathematical Sciences and Engineering

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

10 Scopus citations

Abstract

In this paper, the diffusion equation under square and cubic nonlinearities and stochastic nonhomogeneity is solved using the Homotopy WHEP technique. The homotopy perturbation method is introduced in the WHEP technique to deal with non-perturbative systems. The new technique is then used to solve the nonlinear diffusion equation by making comparisons with Homotopy perturbation method (HPM). The method of analysis is illustrated through case studies and figures.

Original language	English (US)
Pages (from-to)	1277-1284
Number of pages	8
Journal	Mathematical and Computer Modelling
Volume	51
Issue number	9-10
DOIs	https://doi.org/10.1016/j.mcm.2010.01.013
State	Published - May 1 2010

Keywords

Homotopy WHEP
Homotopy perturbation
Nonlinear diffusion equation
WHEP technique

ASJC Scopus subject areas

Modeling and Simulation
Computer Science Applications

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10.1016/j.mcm.2010.01.013

Cite this

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title = "Using Homotopy WHEP technique for solving a stochastic nonlinear diffusion equation",

abstract = "In this paper, the diffusion equation under square and cubic nonlinearities and stochastic nonhomogeneity is solved using the Homotopy WHEP technique. The homotopy perturbation method is introduced in the WHEP technique to deal with non-perturbative systems. The new technique is then used to solve the nonlinear diffusion equation by making comparisons with Homotopy perturbation method (HPM). The method of analysis is illustrated through case studies and figures.",

keywords = "Homotopy WHEP, Homotopy perturbation, Nonlinear diffusion equation, WHEP technique",

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

year = "2010",

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doi = "10.1016/j.mcm.2010.01.013",

language = "English (US)",

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T1 - Using Homotopy WHEP technique for solving a stochastic nonlinear diffusion equation

AU - El-Tawil, Magdy A.

AU - Almulla, Noha

PY - 2010/5/1

Y1 - 2010/5/1

N2 - In this paper, the diffusion equation under square and cubic nonlinearities and stochastic nonhomogeneity is solved using the Homotopy WHEP technique. The homotopy perturbation method is introduced in the WHEP technique to deal with non-perturbative systems. The new technique is then used to solve the nonlinear diffusion equation by making comparisons with Homotopy perturbation method (HPM). The method of analysis is illustrated through case studies and figures.

AB - In this paper, the diffusion equation under square and cubic nonlinearities and stochastic nonhomogeneity is solved using the Homotopy WHEP technique. The homotopy perturbation method is introduced in the WHEP technique to deal with non-perturbative systems. The new technique is then used to solve the nonlinear diffusion equation by making comparisons with Homotopy perturbation method (HPM). The method of analysis is illustrated through case studies and figures.

KW - Homotopy WHEP

KW - Homotopy perturbation

KW - Nonlinear diffusion equation

KW - WHEP technique

UR - http://www.scopus.com/inward/record.url?scp=77649182692&partnerID=8YFLogxK

U2 - 10.1016/j.mcm.2010.01.013

DO - 10.1016/j.mcm.2010.01.013

M3 - Article

AN - SCOPUS:77649182692

SN - 0895-7177

VL - 51

SP - 1277

EP - 1284

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 9-10

ER -

Using Homotopy WHEP technique for solving a stochastic nonlinear diffusion equation

Abstract

Keywords

ASJC Scopus subject areas

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