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

Sh. Sadigh Behzadi | Zendy; S. Abbasbangy | Zendy; Tofigh Allahviranloo | Zendy; Ahmet Yıldırım | Zendy

Open Access

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

Author(s) -

Sh. Sadigh Behzadi,

S. Abbasbangy,

Tofigh Allahviranloo,

Ahmet Yıldırım

Publication year - 2012

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2012009

Subject(s) - homotopy analysis method , mathematics , uniqueness , nonlinear system , mathematical analysis , fredholm integral equation , convergence (economics) , integral equation , series (stratigraphy) , differential equation , volterra integral equation , homotopy , pure mathematics , physics , paleontology , quantum mechanics , economic growth , economics , biology

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research