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

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DOI: 10.4236/ajcm.2017.71007    1,929 Downloads   4,083 Views  Citations

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.

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Al-Mazmumy, M. , Al-Mutairi, A. and Al-Zahrani, K. (2017) An Efficient Decomposition Method for Solving Bratu’s Boundary Value Problem. American Journal of Computational Mathematics, 7, 84-93. doi: 10.4236/ajcm.2017.71007.

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