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...
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| Format: | Article |
| Language: | Arabic |
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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 |
| _version_ | 1818791196478144512 |
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| author | Thair Thanoon Younis Hussain |
| author_facet | Thair Thanoon Younis Hussain |
| author_sort | Thair Thanoon |
| collection | DOAJ |
| description | 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 . |
| first_indexed | 2024-12-18T15:07:30Z |
| format | Article |
| id | doaj.art-07411cf1aace445d87da706e71bb3eba |
| institution | Directory Open Access Journal |
| issn | 1815-4816 2311-7990 |
| language | Arabic |
| last_indexed | 2024-12-18T15:07:30Z |
| publishDate | 2010-06-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj.art-07411cf1aace445d87da706e71bb3eba2022-12-21T21:03:44ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902010-06-0171132710.33899/csmj.2010.163861163861Numerical Stability Study of the Explicit-Implicit Range-Kuta Synthesis Methods (IMEX-ARK)Thair Thanoon0Younis Hussain1College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqCollege of Computer Sciences and Mathematics University of MosulIn 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 .https://csmj.mosuljournals.com/article_163861_7b7078fe46459e970421a784cf355967.pdfnumerical stabilityrunge-kutta methodsstiff differential equation |
| spellingShingle | Thair Thanoon Younis Hussain Numerical Stability Study of the Explicit-Implicit Range-Kuta Synthesis Methods (IMEX-ARK) Al-Rafidain Journal of Computer Sciences and Mathematics numerical stability runge-kutta methods stiff differential equation |
| title | Numerical Stability Study of the Explicit-Implicit Range-Kuta Synthesis Methods (IMEX-ARK) |
| title_full | Numerical Stability Study of the Explicit-Implicit Range-Kuta Synthesis Methods (IMEX-ARK) |
| title_fullStr | Numerical Stability Study of the Explicit-Implicit Range-Kuta Synthesis Methods (IMEX-ARK) |
| title_full_unstemmed | Numerical Stability Study of the Explicit-Implicit Range-Kuta Synthesis Methods (IMEX-ARK) |
| title_short | Numerical Stability Study of the Explicit-Implicit Range-Kuta Synthesis Methods (IMEX-ARK) |
| title_sort | numerical stability study of the explicit implicit range kuta synthesis methods imex ark |
| topic | numerical stability runge-kutta methods stiff differential equation |
| url | https://csmj.mosuljournals.com/article_163861_7b7078fe46459e970421a784cf355967.pdf |
| work_keys_str_mv | AT thairthanoon numericalstabilitystudyoftheexplicitimplicitrangekutasynthesismethodsimexark AT younishussain numericalstabilitystudyoftheexplicitimplicitrangekutasynthesismethodsimexark |