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Ghorbani, Asghar; Saberi-Nadjafi, Jafar

Exact solutions for nonlinear integral equations by a modified homotopy perturbation method. (English) Zbl 1155.45300

Comput. Math. Appl. 56, No. 4, 1032-1039 (2008).
Summary: We apply a new modified homotopy perturbation method to find exact solutions for nonlinear integral equations. A reliable modification of the homotopy perturbation method is proposed, and the modified method is employed to solve the nonlinear integral equations; the results are compared with those obtained by the original homotopy perturbation method. Some examples are given to illustrate the ability and reliability of the modified method. The results reveal that the modified method is very simple and effective.

Cited in 12 Documents

MSC:

45G10 Other nonlinear integral equations

Keywords:

modified homotopy perturbation method; homotopy perturbation method; He’s polynomials; nonlinear integral equations
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\textit{A. Ghorbani} and \textit{J. Saberi-Nadjafi}, Comput. Math. Appl. 56, No. 4, 1032--1039 (2008; Zbl 1155.45300)
Full Text: DOI

References:

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