Citation
Abdulsalam Jasim, Athraa and Senu, Norazak and Abdul Majid, Zanariah
(2019)
Direct one-step method for solving third-order boundary value problems.
International Journal of Applied Mathematics, 32 (2).
pp. 155-176.
ISSN 1311-1728; ESSN: 1314-8060
Abstract
A direct explicit Runge-Kutta type (RKT) method via shooting technique to approximate analytical solutions to the third-order two-point boundary value problems (BVPs) with boundary condition type I and II are proposed. In this paper first, a three-stage fourth-order direct explicit Runge-Kutta type method denoted as RKT3s4 is constructed. A new algorithm of shooting technique for solving two-point BVPs for third-order ordinary differential equations (ODEs) is presented.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.12732/ijam.v32i2.1 |
| Publisher: | Academic Publications |
| Keywords: | Direct Runge-Kutta method; Two-point boundary value problem; Shooting technique; Third-order ordinary differential equation |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 30 Mar 2021 23:45 |
| Last Modified: | 30 Mar 2021 23:45 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.12732/ijam.v32i2.1 |
| URI: | http://psasir.upm.edu.my/id/eprint/79395 |
| Statistic Details: | View Download Statistic |
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