A comprehensive comparison between wave propagation and heat distribution via analytical solutions and computer simulations
Wave propagation and heat distribution are both governed by second order linear constant coefficient partial differential equations, however their solutions yields very different properties. This study presents a comprehensive comparison between hyperbolic wave equation and parabolic heat equation....
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| Format: | Article |
| Language: | English |
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Maxwell Scientific Organization
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/36146/ http://psasir.upm.edu.my/id/eprint/36146/1/A%20comprehensive%20comparison%20between%20wave%20propagation%20and%20heat%20distribution%20via%20analytical%20solutions%20and%20computer%20simulations.pdf |
| _version_ | 1848848250844479488 |
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| author | Shamshiri, Ramin Wan Ismail, Wan Ishak |
| author_facet | Shamshiri, Ramin Wan Ismail, Wan Ishak |
| author_sort | Shamshiri, Ramin |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Wave propagation and heat distribution are both governed by second order linear constant coefficient partial differential equations, however their solutions yields very different properties. This study presents a comprehensive comparison between hyperbolic wave equation and parabolic heat equation. Issues such as conservation of wave profile versus averaging, transporting information, finite versus infinite speed propagation, time reversibility versus irreversibility and propagation of singularities versus instantaneous smoothing have been addressed and followed by examples and graphical evidences from computer simulations to support the arguments. |
| first_indexed | 2025-11-15T09:31:31Z |
| format | Article |
| id | upm-36146 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:31:31Z |
| publishDate | 2014 |
| publisher | Maxwell Scientific Organization |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-361462015-12-18T05:30:48Z http://psasir.upm.edu.my/id/eprint/36146/ A comprehensive comparison between wave propagation and heat distribution via analytical solutions and computer simulations Shamshiri, Ramin Wan Ismail, Wan Ishak Wave propagation and heat distribution are both governed by second order linear constant coefficient partial differential equations, however their solutions yields very different properties. This study presents a comprehensive comparison between hyperbolic wave equation and parabolic heat equation. Issues such as conservation of wave profile versus averaging, transporting information, finite versus infinite speed propagation, time reversibility versus irreversibility and propagation of singularities versus instantaneous smoothing have been addressed and followed by examples and graphical evidences from computer simulations to support the arguments. Maxwell Scientific Organization 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36146/1/A%20comprehensive%20comparison%20between%20wave%20propagation%20and%20heat%20distribution%20via%20analytical%20solutions%20and%20computer%20simulations.pdf Shamshiri, Ramin and Wan Ismail, Wan Ishak (2014) A comprehensive comparison between wave propagation and heat distribution via analytical solutions and computer simulations. Research Journal of Applied Sciences, Engineering and Technology, 7 (1). pp. 111-122. ISSN 2040-7459; ESSN: 2040-7467 http://www.maxwellsci.com/jp/abstract.php?jid=RJASET&no=375&abs=17 |
| spellingShingle | Shamshiri, Ramin Wan Ismail, Wan Ishak A comprehensive comparison between wave propagation and heat distribution via analytical solutions and computer simulations |
| title | A comprehensive comparison between wave propagation and heat distribution via analytical solutions and computer simulations |
| title_full | A comprehensive comparison between wave propagation and heat distribution via analytical solutions and computer simulations |
| title_fullStr | A comprehensive comparison between wave propagation and heat distribution via analytical solutions and computer simulations |
| title_full_unstemmed | A comprehensive comparison between wave propagation and heat distribution via analytical solutions and computer simulations |
| title_short | A comprehensive comparison between wave propagation and heat distribution via analytical solutions and computer simulations |
| title_sort | comprehensive comparison between wave propagation and heat distribution via analytical solutions and computer simulations |
| url | http://psasir.upm.edu.my/id/eprint/36146/ http://psasir.upm.edu.my/id/eprint/36146/ http://psasir.upm.edu.my/id/eprint/36146/1/A%20comprehensive%20comparison%20between%20wave%20propagation%20and%20heat%20distribution%20via%20analytical%20solutions%20and%20computer%20simulations.pdf |