Hybrid method for solving nonlinear Volterra-Fredholm integro differential equations
Abstract
The modified Laplace Adomian decomposition method (LADM) has been developed to find the analytic approximation solution of the nonlinear Volterra-Fredholm integro differential equations under the initial or boundary conditions. We prove the convergence of LADM applied to the Volterra-Fredholm integro differential equations. In this paper, some examples will be examined to support the proposed analysis.
Copyright © 2017 M. Sh. Bani Issa, Ahmed A. Hamoud, K. Ghadle, _ Giniswamy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. S. Bani Issa, A. A. Hamoud, K. Ghadle, _. Giniswamy, Hybrid method for solving nonlinear Volterra-Fredholm integro differential equations, J. Math. Comput. Sci. 7 (2017), 625–641.
BibTeX
@article{Issa2017,
author = {Bani Issa, M. Sh. and Hamoud, Ahmed A. and Ghadle, K. and Giniswamy, _},
title = {Hybrid method for solving nonlinear Volterra-Fredholm integro differential equations},
journal = {J. Math. Comput. Sci.},
volume = {7},
year = {2017},
pages = {625--641},
doi = {}
}