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Solving linear Neumann boundary value problems using block methods


Hasni, Mohd Mughti and Abdul Majid, Zanariah and Senu, Norazak (2012) Solving linear Neumann boundary value problems using block methods. In: 20th National Symposium on Mathematical Sciences (SKSM20), 18-20 Dec. 2012, Palm Garden Hotel, Putrajaya, Malaysia. (pp. 347-353).


A direct two-point block one-step method for solving linear Neumann boundary value problems (LNBVP) is considered. This method will solve the second order LNBVP directly without reducing it to the system of first order equations. The direct solution of LNBVP will be calculated at two points simultaneously using constant step size. This method will be used together with the linear shooting technique to construct the numerical solution. The implementation is based on the predictor and corrector formulas in the PE(CE)m mode. Numerical results are given to show the performance of this method compared to the existing methods.

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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/10.1063/1.4801145
Publisher: AIP Publishing LLC
Keywords: Block method; Neumann boundary value problems
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 04:06
Last Modified: 26 Sep 2017 04:06
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4801145
URI: http://psasir.upm.edu.my/id/eprint/57342
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