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1 December 2014

Decomposition Method for Solving a System of Third-Order Boundary Value Problems

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and
1
Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan
2
Mathematics Department, HITEC University, Texila Cantt, Islamabad, Pakistan
*
Authors to whom correspondence should be addressed.

Abstract

In this paper, we use the modified decomposition method for solving the system of third-order nonlinear boundary value problems associated with obstacle problems. Some examples of system of third-order nonlinear boundary value problems are given. The comparison of the results obtained by modified decomposition method with modified variation of parameters method is also given. Results are also shown graphically that demonstrate the nature of the obstacles in particular problems. The results are very encouraging indicating the reliability and efficiency of the technique.

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