Citation
Allogmany, Reem Ayed and Ismail, Fudziah and Ibrahim, Zarina Bibi
(2019)
Implicit two-point block method with third and fourth derivatives for solving general second order ODEs.
Mathematics and Statistics, 7 (4).
pp. 116-123.
ISSN 2332-2071; ESSN: 2332-2144
Abstract
In this paper we present an implicit two-point block method for solving directly the general second order ordinary differential equations (ODEs). The method incorporates the first and second derivatives of f(x; y; y 0), which are the third and fourth derivatives of the solution. The method is derived using Hermite Interpolating Polynomial as the basic function. A performance comparison of the two-point block method is compared in term of accuracy to several existing methods, which have order almost equal or higher than that of the new method. Numerical results interpret the accuracy and efficacy of the new method. Application of the new method is discussed.
Download File
Official URL or Download Paper: https://www.google.com/search?client=firefox-b-d&q...
|
![[img]](http://psasir.upm.edu.my/style/images/fileicons/text.png)
Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.13189/ms.2019.070404 |
| Publisher: | Horizon Research Publishing |
| Keywords: | Implicit; Block method; Second order ODEs; Hermite interpolation |
| Depositing User: | Azhar Abdul Rahman |
| Date Deposited: | 01 Oct 2020 03:29 |
| Last Modified: | 01 Oct 2020 03:29 |
| Altmetrics: | http://altmetrics.com-details.php?domain=psair.upm.edu.my&doi= 10.13189/ms.2019.070404 |
| URI: | http://psasir.upm.edu.my/id/eprint/80180 |
| Statistic Details: | View Download Statistic |
Actions (login required)
 |
View Item |