AN IMPROVEMENT TO THE HOMOTOPY PERTURBATION METHOD FOR SOLVING INTEGRO-DIFFERENTIAL EQUATIONS

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BABOLIAN E.; VAHIDI A.R.; AZIMZADEH Z.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2012 | Volume:4 | Issue:4 Page(s): 353-363

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Title

AN IMPROVEMENT TO THE HOMOTOPY PERTURBATION METHOD FOR SOLVING INTEGRO-DIFFERENTIAL EQUATIONS

Author(s)

BABOLIAN E. | VAHIDI A.R. | AZIMZADEH Z. | Issue Writer Certificate

Keywords

HOMOTOPY PERTURBATION METHOD (HPM)Q2

INTEGRO-DIFFERENTIAL EQUATIONSQ2

PADE APPROXIMANTQ2

Abstract

In this paper, a new form of the homotopy perturbation method (NHPM) has been adopted for solving INTEGRO-DIFFERENTIAL EQUATIONS. In the present study, firstly the NHPM is used to the integro-differential equation, which yields the Maclaurin series of the exact solution.By applying the Laplace transformation to the truncated Maclaurin series and then the Pad’e approximation to the solution derived from the Laplace transformation, we obtain mostly the exact solution of this kind of equations. Illustrative examples are given to represent the efficiency and the accuracy of the proposed method.

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APA: Copy

BABOLIAN, E., VAHIDI, A.R., & AZIMZADEH, Z.. (2012). AN IMPROVEMENT TO THE HOMOTOPY PERTURBATION METHOD FOR SOLVING INTEGRO-DIFFERENTIAL EQUATIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 4(4), 353-363. SID. https://sid.ir/paper/231756/en

Vancouver: Copy

BABOLIAN E., VAHIDI A.R., AZIMZADEH Z.. AN IMPROVEMENT TO THE HOMOTOPY PERTURBATION METHOD FOR SOLVING INTEGRO-DIFFERENTIAL EQUATIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2012;4(4):353-363. Available from: https://sid.ir/paper/231756/en

IEEE: Copy

E. BABOLIAN, A.R. VAHIDI, and Z. AZIMZADEH, “AN IMPROVEMENT TO THE HOMOTOPY PERTURBATION METHOD FOR SOLVING INTEGRO-DIFFERENTIAL EQUATIONS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 4, no. 4, pp. 353–363, 2012, [Online]. Available: https://sid.ir/paper/231756/en

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