MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING FREDHOLM INTEGRAL EQUATIONS

In this paper we present a modification to homotopy perturbation method for solving linear Fredholm integral equations. Comparisons are made between the standard HPM and the modified one. The results reveal that the proposed method is very effective and simple and gives the exact solution.

[1]  Changbum Chun,et al.  Integration using He’s homotopy perturbation method , 2007 .

[2]  G. F. Tariq,et al.  Global solution algorithm with some assisting techniques for modeling of unsteady flow in centrifuge cascade pipe network , 1999 .

[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]  Abdul Majeed Siddiqui,et al.  Homotopy perturbation method for thin film flow of a third grade fluid down an inclined plane , 2008 .

[6]  Ahmet Yildirim,et al.  A note on He’s homotopy perturbation method for van der Pol oscillator with very strong nonlinearity , 2007 .

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

[8]  Saeid Abbasbandy,et al.  Application of He’s homotopy perturbation method to functional integral equations , 2007 .

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

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

[11]  Saeid Abbasbandy,et al.  Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method , 2006, Appl. Math. Comput..

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

[13]  Ji-Huan He,et al.  Comparison of homotopy perturbation method and homotopy analysis method , 2004, Appl. Math. Comput..

[14]  Shijun Liao,et al.  Boundary element method for general nonlinear differential operators , 1997 .

[15]  C. Hillermeier Generalized Homotopy Approach to Multiobjective Optimization , 2001 .