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An Efficient Decomposition Method for Solving Bratu’s Boundary Value Problem

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Document pages: 10 pages

Abstract: The purpose of this paper is to employ the Adomian Decomposition Method(ADM) and Restarted Adomian Decomposition Method (RADM) with new usefultechniques to resolve Bratu’s boundary value problem by using a new integraloperator. The solutions obtained in this way require the use of the boundaryconditions directly. The obtained results indicate that the new techniques givemore suitable and accurate solutions for the Bratu-type problem, compared withthose for the ADM and its modification.

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