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On the solution of two point boundary value problems with two point direct method.


Citation

Phang, Pei See and Abdul Majid, Zanariah and Suleiman, Mohamed (2012) On the solution of two point boundary value problems with two point direct method. International Journal of Modern Physics: Conference Series, 9 (2012). pp. 566-573. ISSN 2010-1945

Abstract

The two point boundary value problems (BVPs) occur in a wide variety of applications especially in sciences such as chemistry and biology. In this paper, we propose two point direct method of order six for solving nonlinear two point boundary value problems directly. This method is presented in a simple form of Adams Mouton type and determines the approximate solution at two point simultaneously. The method will be implemented using constant step size via shooting technique adapted with three-step iterative method. Numerical results are given to compare the efficiency of the proposed method with the Runge-Kutta and bvp4c method.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1142/S2010194512005673
Publisher: World Scientific Publishing Company
Keywords: Boundary value problem; Direct method; Shooting technique.
Depositing User: Nur Farahin Ramli
Date Deposited: 23 Oct 2013 07:34
Last Modified: 28 Oct 2015 06:44
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1142/S2010194512005673
URI: http://psasir.upm.edu.my/id/eprint/25315
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