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Adomian Decomposition Method with Green’s Function for Solving Tenth-Order Boundary Value Problems
Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq
- 1 Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq
Applied Mathematics·Volume 05 (2014)·Pages 1437–1447·Published 22 May 2014·DOI10.4236/am.2014.510136
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Abstract
In this paper, the Adomian decomposition method with Green’s function (Standard Adomian and Modified Technique) is applied to solve linear and nonlinear tenth-order boundary value problems with boundary conditions defined at any order derivatives. The numerical results obtained with a small amount of computation are compared with the exact solutions to show the efficiency of the method. The results show that the decomposition method is of high accuracy, more convenient and efficient for solving high-order boundary value problems.
KeywordsAdomian Decomposition MethodAdomian’s PolynomialsTenth-Order Boundary Value ProblemsGreen’s Function
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