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Gelfand, I.M. (1963) Some Problems in the Theory of Quasi-Linear Equations. Transactions of the American Mathematical Society, 2, 295-381.

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• 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.