Exact Solutions for Non-linear Volterra-Fredholm Integro-Differential Equations by He's Homotopy Perturbation Method

In this article, an application of He's homotopy perturbation method is applied to solve non-linear Volterra-Fredholm integro-differential equations. Some non-linear examples are prepared to illustrate the ef- ficiency and simplicity of the method.

[1]  R. Mahmood,et al.  Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder , 2006 .

[2]  Jafar Biazar,et al.  Homotopy Perturbation Method for Systems of Partial Differential Equations , 2007 .

[3]  Saeid Abbasbandy,et al.  Numerical solutions of the integral equations: Homotopy perturbation method and Adomian's decomposition method , 2006, Appl. Math. Comput..

[4]  Livija Cveticanin,et al.  Homotopy–perturbation method for pure nonlinear differential equation , 2006 .

[5]  Ji-Huan He HOMOTOPY PERTURBATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS , 2006 .

[6]  Ji-Huan He,et al.  The homotopy perturbation method for nonlinear oscillators with discontinuities , 2004, Appl. Math. Comput..

[7]  Ji-Huan He A coupling method of a homotopy technique and a perturbation technique for non-linear problems , 2000 .

[8]  Ji-Huan He Application of homotopy perturbation method to nonlinear wave equations , 2005 .

[9]  Jafar Biazar,et al.  He’s homotopy perturbation method for systems of integro-differential equations , 2009 .

[10]  Weiming Wang,et al.  An algorithm for solving the high-order nonlinear Volterra-Fredholm integro-differential equation with mechanization , 2006, Appl. Math. Comput..

[11]  L. Delves,et al.  Computational methods for integral equations: Frontmatter , 1985 .

[12]  Ji-Huan He Homotopy perturbation technique , 1999 .

[13]  Ali H. Nayfeh,et al.  Problems in Perturbation , 1985 .

[14]  S. Liao An approximate solution technique not depending on small parameters: A special example , 1995 .