HOMOTOPY APPROXIMATION TECHNIQUE FOR SOLVING NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND

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SADIGH BEHZADI SH.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2014 | Volume:6 | Issue:4 Page(s): 315-320

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Title

HOMOTOPY APPROXIMATION TECHNIQUE FOR SOLVING NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND

Author(s)

SADIGH BEHZADI SH. | Issue Writer Certificate

Keywords

INTEGRAL EQUATIONS OF THE FIRST KIND

VOLTERRA AND FREDHOLM INTEGRAL EQUATIONS

HOMOTOPY ANALYSIS METHOD

Abstract

In this paper, a nonlinear Volterra-Fredholm integral equation of the first kind is solved by using the HOMOTOPY ANALYSIS METHOD (HAM). In this case, the first kind integral equation can be reduced to the second kind integral equation which can be solved by HAM. The approximate solution of this equation is calculated in the form of a series which its components are computed easily. The accuracy of the proposed numerical scheme is examined by comparing with other analytical and numerical results. The existence, uniqueness and convergence of the proposed method are proved. Example is presented to illustrate the efficiency and the performance of the HOMOTOPY ANALYSIS METHOD.

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APA: Copy

SADIGH BEHZADI, SH.. (2014). HOMOTOPY APPROXIMATION TECHNIQUE FOR SOLVING NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 6(4), 315-320. SID. https://sid.ir/paper/629423/en

Vancouver: Copy

SADIGH BEHZADI SH.. HOMOTOPY APPROXIMATION TECHNIQUE FOR SOLVING NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2014;6(4):315-320. Available from: https://sid.ir/paper/629423/en

IEEE: Copy

SH. SADIGH BEHZADI, “HOMOTOPY APPROXIMATION TECHNIQUE FOR SOLVING NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 6, no. 4, pp. 315–320, 2014, [Online]. Available: https://sid.ir/paper/629423/en

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