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Homotopy analysis and Homotopy Pade methods for mixed Volterra-Fredholm integral equations

G. Hojjati|H. Kheiri|S. Fazeli
장전수학회 (Jangjeon Mathematical Society)|2010.10|Advanced Studies in Contemporary Mathematics|제20권 제4호|pp. 547-556

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참고문헌

키워드

Homotopy analysis methodHomotopy Pade techniqueHomotopy per-turbation methodMixed Volterra-Fredholm integral equations.
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초록

In this paper, approximate analytical solution of the mixed Volterra-Fredholm inte-gral equation is obtained by the Homotopy analysis and the Homotopy Pade methods. The obtained approximation by using Homotopy method contains an auxiliary parameter which is a simple way to control and adjust the convergence region and rate of solution series. The approximation solutions by [m,m] Homotopy Pade technique is often independent of auxiliary parameter h and this technique accelerates the convergence of the related series.

Abstract

In this paper, approximate analytical solution of the mixed Volterra-Fredholm inte-gral equation is obtained by the Homotopy analysis and the Homotopy Pade methods. The obtained approximation by using Homotopy method contains an auxiliary parameter which is a simple way to control and adjust the convergence region and rate of solution series. The approximation solutions by [m,m] Homotopy Pade technique is often independent of auxiliary parameter h and this technique accelerates the convergence of the related series.

참고문헌 (20)

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