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Adomian Decomposition Method with Green’s Function for Solving Tenth-Order Boundary Value Problems

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DOI: 10.4236/am.2014.510136    2,835 Downloads   3,698 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Al-Hayani, W. (2014) Adomian Decomposition Method with Green’s Function for Solving Tenth-Order Boundary Value Problems. Applied Mathematics, 5, 1437-1447. doi: 10.4236/am.2014.510136.

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