APPLICATION OF HOMOTOPY ANALYSIS METHOD FOR SOLVING A CLASS OF NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS


BEHZADI S. S. , ABBASBANDY S., ALLAHVIRANLOO T., YILDIRIM A.

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, cilt.2, ss.127-136, 2012 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 2 Konu: 2
  • Basım Tarihi: 2012
  • Dergi Adı: JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
  • Sayfa Sayıları: ss.127-136

Özet

In this paper, the nonlinear Volterra-Fredholm integro-differential equations are solved by using the homotopy analysis method (HAM). The approximation solution of this equation is calculated in the form of a series which its components are computed easily. 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.