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Numerical Study on the Boundary Value Problem by Using a Shooting Method
Pure and Applied Mathematics Journal
Volume 4, Issue 3, June 2015, Pages: 96-100
Received: Apr. 28, 2015; Accepted: May 15, 2015; Published: May 26, 2015
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Authors
Md. Mizanur Rahman, Dept. of Mathematics, Faculty of Applied Science and Technology, Islamic University, Kushtia, Bangladesh
Mst. Jesmin Ara, Department of Political Science, National University, Gazipur, Dhaka, Bangladesh
Md. Nurul Islam, Dept. of Mathematics, Faculty of Applied Science and Technology, Islamic University, Kushtia, Bangladesh
Md. Shajib Ali, Dept. of Mathematics, Faculty of Applied Science and Technology, Islamic University, Kushtia, Bangladesh
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Abstract
In the present paper, a shooting method for the numerical solution of nonlinear two-point boundary value problems is analyzed. Dirichlet, Neumann, and Sturm- Liouville boundary conditions are considered and numerical results are obtained. Numerical examples to illustrate the method are presented to verify the effectiveness of the proposed derivations. The solutions are obtained by the proposed method have been compared with the analytical solution available in the literature and the numerical simulation is guarantee the desired accuracy. Finally the results have been shown in graphically.
Keywords
Boundary Value Problem, Shooting Method, Numerical Simulation and MATLAB Programming
To cite this article
Md. Mizanur Rahman, Mst. Jesmin Ara, Md. Nurul Islam, Md. Shajib Ali, Numerical Study on the Boundary Value Problem by Using a Shooting Method, Pure and Applied Mathematics Journal. Vol. 4, No. 3, 2015, pp. 96-100. doi: 10.11648/j.pamj.20150403.16
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