UPM Institutional Repository

Partitioning ordinary differential equations using Runge-Kutta methods


Citation

Suleiman, Mohamed and Ismail, Fudziah and Mohd Atan, Kamel Ariffin (1996) Partitioning ordinary differential equations using Runge-Kutta methods. Applied Mathematics and Computation, 79 (2-3). pp. 289-309. ISSN 0096-3003

Abstract

Two techniques for detecting stiffness when using Runge-Kutta type of methods are discussed and compared, and a partitioning strategy for first-order system of equations into stiff and nonstiff subsystems is proposed. A few problems are solved using three-stage semi-implicit Runge-Kutta method. Newton iteration is used for the stiff part and simple iteration for the nonstiff. Finally, numerical results based on different criteria to detect stiffness are compared.


Download File

[img]
Preview
Text (Abstract)
Partitioning ordinary differential equations using Runge-Kutta methods.pdf

Download (33kB) | Preview
[img] Text
1-s2.0-0096300395002472-main.pdf - Published Version
Restricted to Repository staff only

Download (712kB)

Additional Metadata

Item Type: Article
Divisions: Universiti Pertanian Malaysia
DOI Number: https://doi.org/10.1016/0096-3003(95)00247-2
Publisher: Elsevier
Keywords: Runge-Kutta methods; Stiffness
Depositing User: Najah Mohd Ali
Date Deposited: 13 Apr 2016 07:17
Last Modified: 08 Aug 2024 04:10
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/0096-3003(95)00247-2
URI: http://psasir.upm.edu.my/id/eprint/41072
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item