He's Homotopy Perturbation Method for solving Linear and Non-Linear Fredholm Integro-Differential Equations

Bijan Krishna Saha
2017 International Journal of Theoretical and Applied Mathematics  
In this paper, linear and non-linear Fredholm Integro-Differential Equations with initial conditions are presented. Aiming to find out an analytic and approximate solutions to linear and non-linear Fredholm Integro-Differential Equations, this paper presents a comparative study of He's Homotopy perturbation method with other traditional methods namely the Variational iteration method (VIM), the Adomian decomposition method (ADM), the Series solution method (SSM) and the Direct computation
more » ... (DCM). Comparison of the applied methods of analytic solutions reveals that He's Homotopy perturbation method is tremendously powerful and effective mathematical tool.
doi:10.11648/j.ijtam.20170306.11 fatcat:ckuuk32quvglvoepafe35m4tuq