Numerical Stability Study of the Explicit-Implicit Range-Kuta Synthesis Methods (IMEX-ARK)
In this research we studied the numerical stability for Implicit-Explicit Additive Runge-Kutta (IMEX-ARK) methods which have the A[]-stability .This stability is equivalent A-stability of (B()-ARK) methods where B()=B<sub>1</sub>+(1-)B<sub>2</sub> of second and third...
| Main Authors: | , |
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| Format: | Article |
| Language: | Arabic |
| Published: |
Mosul University
2010-06-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_163861_7b7078fe46459e970421a784cf355967.pdf |
| Summary: | In this research we studied the numerical stability for Implicit-Explicit Additive Runge-Kutta (IMEX-ARK) methods which have the A[]-stability .This stability is equivalent A-stability of (B()-ARK) methods where B()=B<sub>1</sub>+(1-)B<sub>2</sub> of second and third order for different intervals of values.This methods are suitable for solving stiff non-linear differential equations which has the form :
which contains stiff and non-stiff terms. We have used Matlab as programming tool . |
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| ISSN: | 1815-4816 2311-7990 |