Transiente diffusion equation: an alternative finite difference approach
This work is concerned with development of an alternative finite difference method approach to the solution of the transient diffusion equation. In this approach is assumed that the potential function has a linear variation in some time interval. Thus an integral with respect to time is carried out...
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| Format: | Article |
| Language: | English |
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Universidade Federal de Viçosa (UFV)
2020-12-01
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| Series: | The Journal of Engineering and Exact Sciences |
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| Online Access: | https://periodicos.ufv.br/jcec/article/view/11755 |
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| _version_ | 1832569693699833856 |
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| author | Marcelo Franco de Oliveira |
| author_facet | Marcelo Franco de Oliveira |
| author_sort | Marcelo Franco de Oliveira |
| collection | DOAJ |
| description |
This work is concerned with development of an alternative finite difference method approach to the solution of the transient diffusion equation. In this approach is assumed that the potential function has a linear variation in some time interval. Thus an integral with respect to time is carried out in the initial diffusion equation. A constant time weighting function is adopted. The time integration reduces the order of the time derivative that appears in the initial equation. Two numerical examples are presented to verify the accuracy and applicability of the proposed approaches. The results are compared with the standard corresponding analytical solutions.
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| format | Article |
| id | doaj-art-d5a93ca8f8964dab8a71ed497f3e08c4 |
| institution | Kabale University |
| issn | 2527-1075 |
| language | English |
| publishDate | 2020-12-01 |
| publisher | Universidade Federal de Viçosa (UFV) |
| record_format | Article |
| series | The Journal of Engineering and Exact Sciences |
| spelling | doaj-art-d5a93ca8f8964dab8a71ed497f3e08c42025-02-02T19:57:43ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752020-12-016510.18540/jcecvl6iss5pp0765-0769Transiente diffusion equation: an alternative finite difference approachMarcelo Franco de Oliveira0Universidade Federal do Paraná This work is concerned with development of an alternative finite difference method approach to the solution of the transient diffusion equation. In this approach is assumed that the potential function has a linear variation in some time interval. Thus an integral with respect to time is carried out in the initial diffusion equation. A constant time weighting function is adopted. The time integration reduces the order of the time derivative that appears in the initial equation. Two numerical examples are presented to verify the accuracy and applicability of the proposed approaches. The results are compared with the standard corresponding analytical solutions. https://periodicos.ufv.br/jcec/article/view/11755Finite Difference MethodDiffusion EquationTime Interval |
| spellingShingle | Marcelo Franco de Oliveira Transiente diffusion equation: an alternative finite difference approach The Journal of Engineering and Exact Sciences Finite Difference Method Diffusion Equation Time Interval |
| title | Transiente diffusion equation: an alternative finite difference approach |
| title_full | Transiente diffusion equation: an alternative finite difference approach |
| title_fullStr | Transiente diffusion equation: an alternative finite difference approach |
| title_full_unstemmed | Transiente diffusion equation: an alternative finite difference approach |
| title_short | Transiente diffusion equation: an alternative finite difference approach |
| title_sort | transiente diffusion equation an alternative finite difference approach |
| topic | Finite Difference Method Diffusion Equation Time Interval |
| url | https://periodicos.ufv.br/jcec/article/view/11755 |
| work_keys_str_mv | AT marcelofrancodeoliveira transientediffusionequationanalternativefinitedifferenceapproach |