Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods
This dissertation reports a comparison of results from two classes of numerical methods for heat problems. The heat or diffusion equation, which is an example of parabolic equations are classified into the categories of the partial differential equations. Two classes of numerical methods, Method of...
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| Format: | Thesis |
| Language: | en |
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2004
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| Online Access: | http://eprints.utm.my/5442/1/WanRukaidaWanAbdullahMFS2004.pdf http://eprints.utm.my/5442/ |
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| _version_ | 1845471383006478336 |
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| author | Wan Abdullah, Wan Rukaida |
| author_facet | Wan Abdullah, Wan Rukaida |
| author_sort | Wan Abdullah, Wan Rukaida |
| building | UTM Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Malaysia |
| content_source | UTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | This dissertation reports a comparison of results from two classes of numerical methods for heat problems. The heat or diffusion equation, which is an example of parabolic equations are classified into the categories of the partial differential equations. Two classes of numerical methods, Method of Lines and Finite Difference Method are discussed. In Method of Lines, several Runge-Kutta methods were incorporated, including the third and fourth order. Finally, analysis on numerical results for the three heat problems is presented. |
| format | Thesis |
| id | my.utm.eprints-5442 |
| institution | Universiti Teknologi Malaysia |
| language | en |
| publishDate | 2004 |
| record_format | eprints |
| spelling | my.utm.eprints-54422018-03-07T21:01:52Z http://eprints.utm.my/5442/ Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods Wan Abdullah, Wan Rukaida QA Mathematics This dissertation reports a comparison of results from two classes of numerical methods for heat problems. The heat or diffusion equation, which is an example of parabolic equations are classified into the categories of the partial differential equations. Two classes of numerical methods, Method of Lines and Finite Difference Method are discussed. In Method of Lines, several Runge-Kutta methods were incorporated, including the third and fourth order. Finally, analysis on numerical results for the three heat problems is presented. 2004-10 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/5442/1/WanRukaidaWanAbdullahMFS2004.pdf Wan Abdullah, Wan Rukaida (2004) Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. |
| spellingShingle | QA Mathematics Wan Abdullah, Wan Rukaida Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods |
| title | Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods |
| title_full | Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods |
| title_fullStr | Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods |
| title_full_unstemmed | Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods |
| title_short | Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods |
| title_sort | study on solutions of heat problems using finite difference methods and method of lines incorporate with rk-liked methods |
| topic | QA Mathematics |
| url | http://eprints.utm.my/5442/1/WanRukaidaWanAbdullahMFS2004.pdf http://eprints.utm.my/5442/ |
| url_provider | http://eprints.utm.my/ |