Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm
An equation where solutions change on two vastly different scales will encounter a stiff problem. Partial differential equations can lead to systems of first order ordinary differential equations when discretized using finite difference such as methods of lines. The method of lines, (MOL) is a power...
| Main Authors: | , , , |
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| Format: | Monograph |
| Language: | English |
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Faculty of Science
2005
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| Subjects: | |
| Online Access: | http://eprints.utm.my/5805/1/75085.pdf |
| _version_ | 1825909794011086848 |
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| author | Yaacob, Nazeeruddin Mohamed Murid, Ali Hassan Wan Abdullah, Wan Rukaida Hashim, Zulkifly |
| author_facet | Yaacob, Nazeeruddin Mohamed Murid, Ali Hassan Wan Abdullah, Wan Rukaida Hashim, Zulkifly |
| author_sort | Yaacob, Nazeeruddin |
| collection | ePrints |
| description | An equation where solutions change on two vastly different scales will encounter a stiff problem. Partial differential equations can lead to systems of first order ordinary differential equations when discretized using finite difference such as methods of lines. The method of lines, (MOL) is a powerful technique for solving partial differential equation. This project aims to demonstrate the combination of two methods in order to solve the stiff problems. The methods are the method of lines with five-points central finite difference and the explicit third order Runge-Kutta method. |
| first_indexed | 2024-03-05T18:07:27Z |
| format | Monograph |
| id | utm.eprints-5805 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:07:27Z |
| publishDate | 2005 |
| publisher | Faculty of Science |
| record_format | dspace |
| spelling | utm.eprints-58052017-08-10T01:22:16Z http://eprints.utm.my/5805/ Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm Yaacob, Nazeeruddin Mohamed Murid, Ali Hassan Wan Abdullah, Wan Rukaida Hashim, Zulkifly QA Mathematics An equation where solutions change on two vastly different scales will encounter a stiff problem. Partial differential equations can lead to systems of first order ordinary differential equations when discretized using finite difference such as methods of lines. The method of lines, (MOL) is a powerful technique for solving partial differential equation. This project aims to demonstrate the combination of two methods in order to solve the stiff problems. The methods are the method of lines with five-points central finite difference and the explicit third order Runge-Kutta method. Faculty of Science 2005-01-31 Monograph NonPeerReviewed application/pdf en http://eprints.utm.my/5805/1/75085.pdf Yaacob, Nazeeruddin and Mohamed Murid, Ali Hassan and Wan Abdullah, Wan Rukaida and Hashim, Zulkifly (2005) Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm. Project Report. Faculty of Science, Skudai, Johor. (Unpublished) |
| spellingShingle | QA Mathematics Yaacob, Nazeeruddin Mohamed Murid, Ali Hassan Wan Abdullah, Wan Rukaida Hashim, Zulkifly Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm |
| title | Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm |
| title_full | Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm |
| title_fullStr | Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm |
| title_full_unstemmed | Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm |
| title_short | Stiff PDE in heat problem : solution using the method of lines with new numerical algorithm |
| title_sort | stiff pde in heat problem solution using the method of lines with new numerical algorithm |
| topic | QA Mathematics |
| url | http://eprints.utm.my/5805/1/75085.pdf |
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