Stability of Charlie's method on linear heat conduction equation.
Explicit schemes are attractive for obtaining finite difference solutions to partial differential equations because of their simplicity. However this feature is undermined by the severe restriction on stability that the schemes suffer. One method that appears to have better stability properties is C...
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| Format: | Article |
| Language: | English |
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Department of Mathematics, Faculty of Science
2001
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| Online Access: | http://eprints.utm.my/8815/1/HalijahOsman2001_StabilityOfCharliesMethodOnLinear.pdf |
| _version_ | 1825910257589682176 |
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| author | Osman, Halijah Wood, A. S. |
| author_facet | Osman, Halijah Wood, A. S. |
| author_sort | Osman, Halijah |
| collection | ePrints |
| description | Explicit schemes are attractive for obtaining finite difference solutions to partial differential equations because of their simplicity. However this feature is undermined by the severe restriction on stability that the schemes suffer. One method that appears to have better stability properties is Charlie's method. The stability region of this method applied to a one-dimensional heat conduction equation is discussed in this article.
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| first_indexed | 2024-03-05T18:14:24Z |
| format | Article |
| id | utm.eprints-8815 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:14:24Z |
| publishDate | 2001 |
| publisher | Department of Mathematics, Faculty of Science |
| record_format | dspace |
| spelling | utm.eprints-88152012-08-17T04:51:14Z http://eprints.utm.my/8815/ Stability of Charlie's method on linear heat conduction equation. Osman, Halijah Wood, A. S. QA Mathematics Explicit schemes are attractive for obtaining finite difference solutions to partial differential equations because of their simplicity. However this feature is undermined by the severe restriction on stability that the schemes suffer. One method that appears to have better stability properties is Charlie's method. The stability region of this method applied to a one-dimensional heat conduction equation is discussed in this article. Department of Mathematics, Faculty of Science 2001-06 Article PeerReviewed application/pdf en http://eprints.utm.my/8815/1/HalijahOsman2001_StabilityOfCharliesMethodOnLinear.pdf Osman, Halijah and Wood, A. S. (2001) Stability of Charlie's method on linear heat conduction equation. Matematika, 17 (1). pp. 1-6. ISSN 0127-8274 http://www.fs.utm.my/matematika/content/view/53/31/ |
| spellingShingle | QA Mathematics Osman, Halijah Wood, A. S. Stability of Charlie's method on linear heat conduction equation. |
| title | Stability of Charlie's method on linear heat conduction equation. |
| title_full | Stability of Charlie's method on linear heat conduction equation. |
| title_fullStr | Stability of Charlie's method on linear heat conduction equation. |
| title_full_unstemmed | Stability of Charlie's method on linear heat conduction equation. |
| title_short | Stability of Charlie's method on linear heat conduction equation. |
| title_sort | stability of charlie s method on linear heat conduction equation |
| topic | QA Mathematics |
| url | http://eprints.utm.my/8815/1/HalijahOsman2001_StabilityOfCharliesMethodOnLinear.pdf |
| work_keys_str_mv | AT osmanhalijah stabilityofcharliesmethodonlinearheatconductionequation AT woodas stabilityofcharliesmethodonlinearheatconductionequation |