A HOMOTOPY PERTURBATION ALGORITHM AND TAYLOR SERIES EXPANSION METHOD TO SOLVE A SYSTEM OF SECOND KIND FREDHOLM INTEGRAL EQUATIONS

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MIRZAEI S.M.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2011 | Volume:1 | Issue:2 Page(s): 117-123

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Title

A HOMOTOPY PERTURBATION ALGORITHM AND TAYLOR SERIES EXPANSION METHOD TO SOLVE A SYSTEM OF SECOND KIND FREDHOLM INTEGRAL EQUATIONS

Author(s)

MIRZAEI S.M. | Issue Writer Certificate

Keywords

HPM

TAYLOR SERIES

INTEGRAL EQUATION

Abstract

In this paper, we will compare a Homotopy perturbation algorithm and TAYLOR SERIES expansin method for a system of second kind Fredholm INTEGRAL EQUATIONs. An application of He's homotopy perturbation method is applied to solve the system of Fredholm INTEGRAL EQUATIONs. TAYLOR SERIES expansin method reduce the system of INTEGRAL EQUATIONs to a linear system of ordinary differential equation.

Cites

HYBRID FUNCTIONS APPROACH AND PIECEWISE CONSTANT FUNCTION BY COLLOCATION METHOD FOR THE NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

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APA: Copy

MIRZAEI, S.M.. (2011). A HOMOTOPY PERTURBATION ALGORITHM AND TAYLOR SERIES EXPANSION METHOD TO SOLVE A SYSTEM OF SECOND KIND FREDHOLM INTEGRAL EQUATIONS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 1(2), 117-123. SID. https://sid.ir/paper/328204/en

Vancouver: Copy

MIRZAEI S.M.. A HOMOTOPY PERTURBATION ALGORITHM AND TAYLOR SERIES EXPANSION METHOD TO SOLVE A SYSTEM OF SECOND KIND FREDHOLM INTEGRAL EQUATIONS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2011;1(2):117-123. Available from: https://sid.ir/paper/328204/en

IEEE: Copy

S.M. MIRZAEI, “A HOMOTOPY PERTURBATION ALGORITHM AND TAYLOR SERIES EXPANSION METHOD TO SOLVE A SYSTEM OF SECOND KIND FREDHOLM INTEGRAL EQUATIONS,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 1, no. 2, pp. 117–123, 2011, [Online]. Available: https://sid.ir/paper/328204/en

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