Title : ( He’s homotopy perturbation method: An effective tool for solving nonlinear integral and integro-differential equations )
Authors: Jafar Saberi- Nadjafi , Asghar Ghorbani ,
Full TextAbstract
In this paper, we conduct a comparative study among He’s homotopy perturbation method and three traditional methods for an analytic and approximate treatment of nonlinear integral and integro-differential equations. The proper implementation of He’s homotopy perturbation method can extremely minimize the size of work if compared to existing traditional techniques. The analysis is accompanied by examples that demonstrate the comparison, and shows the pertinent features of the homotopy perturbation technique.
Keywords
, He s homotopy perturbation method Nonlinear integro, differential equations Nonlinear integral equations The Adomian decomposition method The series solution method The direct computation method
@article{paperid:1012370,
author = {Saberi- Nadjafi, Jafar and Ghorbani, Asghar},
title = {He’s homotopy perturbation method: An effective tool for solving nonlinear integral and integro-differential equations},
journal = {Computers and Mathematics with Applications},
year = {2009},
volume = {12},
number = {58},
month = {December},
issn = {0898-1221},
pages = {2379--2390},
numpages = {11},
keywords = {He s homotopy perturbation method
Nonlinear integro-differential equations
Nonlinear integral equations
The Adomian decomposition method
The series solution method
The direct computation method},
}
%0 Journal Article
%T He’s homotopy perturbation method: An effective tool for solving nonlinear integral and integro-differential equations
%A Saberi- Nadjafi, Jafar
%A Ghorbani, Asghar
%J Computers and Mathematics with Applications
%@ 0898-1221
%D 2009
