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Article

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

by
Muhammad Aslam Noor
1,*,
Khalida Inayat Noor
1,* and
Asif Waheed
2,*
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.
Math. Comput. Appl. 2014, 19(3), 230-240; https://doi.org/10.3390/mca19030230
Published: 1 December 2014
Versions Notes

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.
Keywords: modified decomposition method; Adomian’s polynomials; system of third- order nonlinear boundary value problem modified decomposition method; Adomian’s polynomials; system of third- order nonlinear boundary value problem

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MDPI and ACS Style

Noor, M.A.; Noor, K.I.; Waheed, A. Decomposition Method for Solving a System of Third-Order Boundary Value Problems. Math. Comput. Appl. 2014, 19, 230-240. https://doi.org/10.3390/mca19030230

AMA Style

Noor MA, Noor KI, Waheed A. Decomposition Method for Solving a System of Third-Order Boundary Value Problems. Mathematical and Computational Applications. 2014; 19(3):230-240. https://doi.org/10.3390/mca19030230

Chicago/Turabian Style

Noor, Muhammad Aslam, Khalida Inayat Noor, and Asif Waheed. 2014. "Decomposition Method for Solving a System of Third-Order Boundary Value Problems" Mathematical and Computational Applications 19, no. 3: 230-240. https://doi.org/10.3390/mca19030230

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