TITLE:
Modified Adomian Techniques Applied to Non-Linear Volterra Integral Equations
AUTHORS:
Haifa H. Ali, Fawzi Abdelwahid
KEYWORDS:
Adomian Decomposition Method; Volterra Integral Equations
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.3 No.2,
June
20,
2013
ABSTRACT:
In this work, we studied the performance of modified techniques of
Adomian method applied to non-linear Volterra integral equations of the
second kind. This study shows that the modified techniques are reliable,
efficient and easy to use through recursive relations that involve simple
integrals. Furthermore, we found that the right choice and the proper
implementation of the modified techniques reduce the computational difficulties
and increase the speed of convergent, comparing with the standard Adomian method.