Homotopy perturbation method for (2+1) -dimensional coupled Burgers system

E. Hizel; S. Küçükarslan

doi:10.1016/j.nonrwa.2008.02.033

Homotopy perturbation method for (2+1) -dimensional coupled Burgers system

E. Hizel^*, S. Küçükarslan

^*Corresponding author for this work

Department of Civil Engineering

Istanbul Technical University

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

19 Citations (Scopus)

Abstract

In this paper, a numerical solution of the (2+1)-dimensional coupled Burgers system is studied by using the Homotopy Perturbation Method (HPM). For this purpose, the available analytical solutions obtained by tanh method will be compared to show the validity and accuracy of the proposed numerical algorithm. The results approve the convergence and accuracy of the Homotopy Perturbation Method for numerically analyzed (2+1) coupled Burgers system.

Original language	English
Pages (from-to)	1932-1938
Number of pages	7
Journal	Nonlinear Analysis: Real World Applications
Volume	10
Issue number	3
DOIs	https://doi.org/10.1016/j.nonrwa.2008.02.033
Publication status	Published - Jun 2009

Keywords

Coupled Burgers system
Homotopy Perturbation Method (HPM)
Numerical analysis of nonlinear PDEs

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10.1016/j.nonrwa.2008.02.033

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title = "Homotopy perturbation method for (2+1) -dimensional coupled Burgers system",

abstract = "In this paper, a numerical solution of the (2+1)-dimensional coupled Burgers system is studied by using the Homotopy Perturbation Method (HPM). For this purpose, the available analytical solutions obtained by tanh method will be compared to show the validity and accuracy of the proposed numerical algorithm. The results approve the convergence and accuracy of the Homotopy Perturbation Method for numerically analyzed (2+1) coupled Burgers system.",

keywords = "Coupled Burgers system, Homotopy Perturbation Method (HPM), Numerical analysis of nonlinear PDEs",

author = "E. Hizel and S. K{\"u}{\c c}{\"u}karslan",

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AU - Küçükarslan, S.

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N2 - In this paper, a numerical solution of the (2+1)-dimensional coupled Burgers system is studied by using the Homotopy Perturbation Method (HPM). For this purpose, the available analytical solutions obtained by tanh method will be compared to show the validity and accuracy of the proposed numerical algorithm. The results approve the convergence and accuracy of the Homotopy Perturbation Method for numerically analyzed (2+1) coupled Burgers system.

AB - In this paper, a numerical solution of the (2+1)-dimensional coupled Burgers system is studied by using the Homotopy Perturbation Method (HPM). For this purpose, the available analytical solutions obtained by tanh method will be compared to show the validity and accuracy of the proposed numerical algorithm. The results approve the convergence and accuracy of the Homotopy Perturbation Method for numerically analyzed (2+1) coupled Burgers system.

KW - Coupled Burgers system

KW - Homotopy Perturbation Method (HPM)

KW - Numerical analysis of nonlinear PDEs

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JO - Nonlinear Analysis: Real World Applications

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ER -

Homotopy perturbation method for (2+1) -dimensional coupled Burgers system

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Keywords

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