A New Application of Homotopy Analysis Method

Mojtaba Ghanbari, Tofigh Allahviranloo

Abstract


In this paper, we focus on linear fuzzy Fredholm integral equations of the second kind and propose a new method for solving it, namely “homotopy analysis method” (HAM). It is found that the HAM provides us with a simple way to adjust and control the convergence region of solution series by introducing an auxiliary parameter h. The results illustrate the validity and the great potential of the HAM in solving fuzzy integral equations.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|