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An Efficient Decomposition Method for Solving Bratu’s Boundary Value Problem
Department of mathematics, Faculty of Science-AL Faisaliah Campus, King Abdulaziz University, Jeddah, KSA
Department of mathematics, Faculty of Science-AL Faisaliah Campus, King Abdulaziz University, Jeddah, KSA
Department of mathematics, Faculty of Science-AL Faisaliah Campus, King Abdulaziz University, Jeddah, KSA
- 1 Department of mathematics, Faculty of Science-AL Faisaliah Campus, King Abdulaziz University, Jeddah, KSA
- 2 Department of mathematics, Faculty of Science-AL Faisaliah Campus, King Abdulaziz University, Jeddah, KSA
- 3 Department of mathematics, Faculty of Science-AL Faisaliah Campus, King Abdulaziz University, Jeddah, KSA
American Journal of Computational Mathematics·Volume 07 (2017)·Pages 84–93·Published 23 March 2017·DOI10.4236/ajcm.2017.71007
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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.
KeywordsAdomian Decomposition MethodRestarted Adomian MethodBratu’s Boundary Value Problem
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