HOMOTOPY ANALYSIS AND HOMOTOPY PADE METHODS FOR THE MODIFIED BURGERS-KORTEWEG-DE VRIES AND THE NEWELL -WHITEHEAD EQUATIONS

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KHEIRI H.; ALIPOUR N.; DEHGHANI R.

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Journal: MATHEMATICAL SCIENCES Year:2011 | Volume:5 | Issue:1 Page(s): 33-50

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Title

HOMOTOPY ANALYSIS AND HOMOTOPY PADE METHODS FOR THE MODIFIED BURGERS-KORTEWEG-DE VRIES AND THE NEWELL -WHITEHEAD EQUATIONS

Author(s)

KHEIRI H. | ALIPOUR N. | DEHGHANI R. | Issue Writer Certificate

Keywords

HOMOTOPY ANALYSIS METHOD

HOMOTOPY PADE METHOD

THE MODIFIED BURGERS-KORTEWEG-DE VRIES EQUATION

THE NEWELL -WHITEHEAD EQUATION

Abstract

In this paper, analytic solutions of THE MODIFIED BURGERS-KORTEWEG-DE VRIES EQUATION (mBKdVE) and THE NEWELL -WHITEHEAD EQUATION are obtained by the Ho-motopy analysis method (HAM) and the HOMOTOPY PADE METHOD (HPadeM). The obtained approximation by using HAM contains an auxiliary parameter which is a way to control and adjust the convergence region and rate of the solution series.The approximation solution by [m; m] HPadeM is often independent of auxiliary parameter`h and this technique accelerate the convergence of the related series.

Cites

HOMOTOPY ANALYSIS SUMUDU TRANSFORM METHOD FOR NONLINEAR EQUATIONS

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APA: Copy

KHEIRI, H., ALIPOUR, N., & DEHGHANI, R.. (2011). HOMOTOPY ANALYSIS AND HOMOTOPY PADE METHODS FOR THE MODIFIED BURGERS-KORTEWEG-DE VRIES AND THE NEWELL -WHITEHEAD EQUATIONS. MATHEMATICAL SCIENCES, 5(1), 33-50. SID. https://sid.ir/paper/322534/en

Vancouver: Copy

KHEIRI H., ALIPOUR N., DEHGHANI R.. HOMOTOPY ANALYSIS AND HOMOTOPY PADE METHODS FOR THE MODIFIED BURGERS-KORTEWEG-DE VRIES AND THE NEWELL -WHITEHEAD EQUATIONS. MATHEMATICAL SCIENCES[Internet]. 2011;5(1):33-50. Available from: https://sid.ir/paper/322534/en

IEEE: Copy

H. KHEIRI, N. ALIPOUR, and R. DEHGHANI, “HOMOTOPY ANALYSIS AND HOMOTOPY PADE METHODS FOR THE MODIFIED BURGERS-KORTEWEG-DE VRIES AND THE NEWELL -WHITEHEAD EQUATIONS,” MATHEMATICAL SCIENCES, vol. 5, no. 1, pp. 33–50, 2011, [Online]. Available: https://sid.ir/paper/322534/en

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