Applied Mathematics

Volume 5, Issue 10 (June 2014)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

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

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DOI: 10.4236/am.2014.510136    3,412 Downloads   4,844 Views  Citations
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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.

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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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