Numerical solution of fuzzy Hunter-Saxton equation by using Adomian decomposition and Homotopy analysis methods

Abstract

In this paper, a fuzzy Hunter-Saxton equation is solved by using the Adomian's<br />decomposition method (ADM) and homotopy analysis method (HAM). The<br />approximation solution of this equation is calculated in the form of series which<br />its components are computed by applying a recursive relation. The existence<br />and uniqueness of the solution and the convergence of the proposed methods<br />are proved. A numerical example is studied to demonstrate the accuracy of<br />the presented methods. In this paper, a fuzzy Hunter-Saxton equation is solved by using the Adomian's<br />decomposition method (ADM) and homotopy analysis method (HAM). The<br />approximation solution of this equation is calculated in the form of series which<br />its components are computed by applying a recursive relation. The existence<br />and uniqueness of the solution and the convergence of the proposed methods<br />are proved. A numerical example is studied to demonstrate the accuracy of<br />the presented methods.