Homotopy Perturbation Transform Method for solving nonlinear wave-like equation with variable coefficients

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Dr. Sumit gupta
Dr. Sumit gupta
2
V.G.Gupta
V.G.Gupta
1 University of Rajasthan, Jaipur, India.

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GJSFR Volume 11 Issue 9

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In this paper, we apply homotopy perturbation transform method (HPTM) for solving nonlinear wave-like equations of variable coefficients. This method is the coupling of homotopy perturbation method and Laplace transform method. The nonlinear terms can be easily obtained by the use of He’s polynomials. HPTM present an accurate methodology to solve many types of linear and nonlinear differential equations. The approximate solutions obtained by means of HPTM in a wide range of the problem’s domain were compared with those results obtained from the actual solutions, the Variational iteration method (VIM) and the Adomain decomposition method (ADM). The fact that proposed technique solves nonlinear problems without using Adomain’s polynomials can be considered as a clear advantage of this algorithm over the decomposition method. The comparison shows a precise agreement between the results.

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No external funding was declared for this work.

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The authors declare no conflict of interest.

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Dr. Sumit gupta. 1970. \u201cHomotopy Perturbation Transform Method for solving nonlinear wave-like equation with variable coefficients\u201d. Unknown Journal GJSFR Volume 11 (GJSFR Volume 11 Issue 9): .

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December 23, 2011

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In this paper, we apply homotopy perturbation transform method (HPTM) for solving nonlinear wave-like equations of variable coefficients. This method is the coupling of homotopy perturbation method and Laplace transform method. The nonlinear terms can be easily obtained by the use of He’s polynomials. HPTM present an accurate methodology to solve many types of linear and nonlinear differential equations. The approximate solutions obtained by means of HPTM in a wide range of the problem’s domain were compared with those results obtained from the actual solutions, the Variational iteration method (VIM) and the Adomain decomposition method (ADM). The fact that proposed technique solves nonlinear problems without using Adomain’s polynomials can be considered as a clear advantage of this algorithm over the decomposition method. The comparison shows a precise agreement between the results.

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Homotopy Perturbation Transform Method for solving nonlinear wave-like equation with variable coefficients

Dr. Sumit gupta
Dr. Sumit gupta University of Rajasthan, Jaipur, India.
V.G.Gupta
V.G.Gupta

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