Application of the Homotopy Perturbation Method to the Burgers Equation with Delay

doi:10.1088/0256-307X/29/3/030202

Chin. Phys. Lett.

2012, Vol. 29

Issue (3): 030202 DOI: 10.1088/0256-307X/29/3/030202

GENERAL

Application of the Homotopy Perturbation Method to the Burgers Equation with Delay

S. Karimi Vanani^*, F. Soleymani

Department of Mathematics, Islamic Azad University, Zahedan Branch, Zahedan, Iran

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S. Karimi Vanani, F. Soleymani 2012 Chin. Phys. Lett. 29 030202

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Abstract The homotopy perturbation method (HPM) is presented to obtain the solution of the time-delayed Burgers equation. The HPM is a an efficient approach to obtain an analytical approximate solution of linear and nonlinear problems. The HPM provides approximate solutions in the form of a convergent series with easily computable components. Some experiments are employed to illustrate the validity and flexibility of the HPM for solving the time-delayed Burgers equation.

Keywords: 02.30.Jr 02.30.Ks 02.60.Gf

Received: 29 September 2011 Published: 11 March 2012

PACS:	02.30.Jr	(Partial differential equations)
	02.30.Ks	(Delay and functional equations)
	02.60.Gf	(Algorithms for functional approximation)

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	S. Karimi Vanani
	F. Soleymani

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