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Solving third order boundary value problem with fifth order method


Citation

Ahmad Zulkifli, Ahmad Shah Abdullah and Abdul Majid, Zanariah and Senu, Norazak (2012) Solving third order boundary value problem with fifth order method. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 538-543).

Abstract / Synopsis

A fifth order direct method is developed for the numerical solution of nonlinear boundary value problems (BVPs) directly. Most of the existence research involving BVPs will reduce the problem to a system of first order Ordinary Differential Equations (ODEs). However, the proposed method will solve the third order BVPs directly without reducing to first order ODEs. The direct method will solve the nonlinear third order BVPs by shooting technique using constant step size. Numerical result is presented to illustrate the performance of the proposed method. The results clearly show that the proposed method is suitable for solving third order nonlinear BVPs.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4801172
Publisher: AIP Publishing LLC
Keywords: Boundary value problems; Direct method; Shooting technique
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 11:59
Last Modified: 26 Sep 2017 11:59
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4801172
URI: http://psasir.upm.edu.my/id/eprint/57281
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