Citation
Phang, Pei See and Abdul Majid, Zanariah and Ismail, Fudziah and Othman, Khairil Iskandar and Suleiman, Mohamed
(2013)
New algorithm of two-point block method for solving boundary value problem with dirichlet and Neumann boundary conditions.
Mathematical Problems in Engineering, 2013.
art. no. 917589.
pp. 1-10.
ISSN 1024-123X
Abstract
Two-point block method with variable step-size strategy is presented to obtain the solutions for boundary value problems directly. Dirichlet type and Neumann type of boundary conditions are studied in this paper. Multiple shooting techniques adapted with the three-step iterative method are employed for generating the guessing value. Six boundary value problems are solved using the proposed method, and the numerical results are compared to the existing methods. The results suggest a significant improvement in the efficiency of the proposed methods in terms of the number of steps, execution time, and accuracy.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2013/917589 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Block methods; Dirichlet and Neumann boundary conditions; Dirichlet type; Execution time; Multiple shooting; Numerical results; Two-point; Variable step size. |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 25 Aug 2014 07:43 |
| Last Modified: | 28 Oct 2015 04:31 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/917589 |
| URI: | http://psasir.upm.edu.my/id/eprint/30189 |
| Statistic Details: | View Download Statistic |
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