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Numerical solution of fuzzy Hunter-Saxton equation by using Adomian decomposition and Homotopy analysis methods | ||
Theory of Approximation and Applications | ||
مقاله 7، دوره 9، شماره 2، اسفند 2015، صفحه 115-133 اصل مقاله (342.5 K) | ||
نوع مقاله: Research Articles | ||
نویسنده | ||
Sh Sadigh behzadi | ||
Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran | ||
چکیده | ||
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. | ||
مراجع | ||
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