TITLE:
An Efficient Decomposition Method for Solving Bratu’s Boundary Value Problem
AUTHORS:
Mariam Al-Mazmumy, Ahlam Al-Mutairi, Kholoud Al-Zahrani
KEYWORDS:
Adomian Decomposition Method, Restarted Adomian Method, Bratu’s Boundary Value Problem
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.7 No.1,
March
31,
2017
ABSTRACT: The purpose of this paper is to employ the Adomian Decomposition Method
(ADM) and Restarted Adomian Decomposition Method (RADM) with new useful
techniques to resolve Bratu’s boundary value problem by using a new integral
operator. The solutions obtained in this way require the use of the boundary
conditions directly. The obtained results indicate that the new techniques give
more suitable and accurate solutions for the Bratu-type problem, compared with
those for the ADM and its modification.