Citation
Ghawadri, Nizam Ghannam Fayez and Senu, Norazak and Alshareeda, Firas Adel Fawzi and Ismail, Fudziah and Ibrahim, Zarina Bibi
(2019)
Diagonally implicit Runge–Kutta type method for directly solving special fourth-order ordinary differential equations with ill-posed problem of a beam on elastic foundation.
Algorithms, 12 (1).
art. no. 10.
pp. 1-10.
ISSN 1999-4893
Abstract
In this study, fifth-order and sixth-order diagonally implicit Runge–Kutta type (DIRKT) techniques for solving fourth-order ordinary differential equations (ODEs) are derived which are denoted as DIRKT5 and DIRKT6, respectively. The first method has three and the another one has four identical nonzero diagonal elements. A set of test problems are applied to validate the methods and numerical results showed that the proposed methods are more efficient in terms of accuracy and number of function evaluations compared to the existing implicit Runge–Kutta (RK) methods.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.3390/a12010010 |
| Publisher: | MDPI |
| Keywords: | Diagonally implicit Runge–Kutta type methods; Fourth-order ODEs; Initial value problem |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 04 May 2020 17:37 |
| Last Modified: | 04 May 2020 17:37 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/a12010010 |
| URI: | http://psasir.upm.edu.my/id/eprint/77899 |
| Statistic Details: | View Download Statistic |
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