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

Document Type: Research Articles

Author

Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran

Abstract

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

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