NUMERICAL SOLUTION OF LR FUZZY HUNTER-SAXETON EQUATION BY USING HOMOTOPY ANALYSIS METHOD


BEHZADI S. S. , YILDIRIM A.

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, cilt.2, ss.1-10, 2012 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 2 Konu: 1
  • Basım Tarihi: 2012
  • Dergi Adı: JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
  • Sayfa Sayıları: ss.1-10

Özet

In this paper, a LR fuzzy Hunter-Saxton equation is solved by using the 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 method are proved. A numerical example is studied to demonstrate the accuracy of the presented method.