Series solution of fuzzy wave-like equations with variable coefficients

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.