Series solution of fuzzy wave-like equations with variable coefficients

Article type: Research Article

Authors: Hashemi, M.S. | Malekinagad, J.

Affiliations: Department of mathematic and computer science, Engineering and Technical Faculty, University of Bonab, Bonab, Iran

Note: [] Corresponding author. M.S. Hashemi, Department of mathematic and computer science, Engineering and Technical Faculty, University of Bonab, Bonab, 55517, Iran. E-mail: [email protected]

Abstract: In this paper, the homotopy analysis method (HAM) is proposed to obtain a semi-analytical solution of the fuzzy wave-like equations with variable coefficients. This method contains the auxiliary parameter $\hbar$, which provides us a simple way to adjust and control the convergence region of solution series. Convergency of HAM for the fuzzy wave-like equations with variable coefficients has been considered and some examples are given to illustrate its power and efficiency.

Keywords: Homotopy analysis method, fuzzy wave-like equations, auxiliary parameter, variable coefficient

DOI: 10.3233/IFS-120649

Journal: Journal of Intelligent & Fuzzy Systems, vol. 25, no. 2, pp. 415-428, 2013