A High Accuracy Variant of The Iterative Alternating Decomposition Explicit Method for Solving The Heat Equation
We consider three level difference replacements of parabolic equations focusing on the heat equation in two space dimensions. Through a judicious splitting of the approximation,the scheme qualifies as an alternating direction implicit (ADI) method. Using the well known fact of the parabolic-ellipti...
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| Format: | Article |
| Language: | en |
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2006
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| Online Access: | http://eprints.utm.my/6503/1/f121792104116853.pdf http://eprints.utm.my/6503/ |
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| author | Sahimi, M. S. Mansor, N. A Nor, N. M. Nusi, N. M. Alias, N. |
| author_facet | Sahimi, M. S. Mansor, N. A Nor, N. M. Nusi, N. M. Alias, N. |
| author_sort | Sahimi, M. S. |
| building | UTM Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Malaysia |
| content_source | UTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | We consider three level difference replacements of parabolic equations focusing on the heat equation in two space dimensions. Through a judicious splitting of the approximation,the scheme qualifies as an alternating direction implicit (ADI) method. Using the well known fact
of the parabolic-elliptic correspondence, we shall derive a two stage iterative procedure employing a fractional splitting strategy applied alternately at each intermediate time step to the one dimensional heat equation. As the basis of derivation is the unconditionally stable (4,2)
accurate ADI scheme, this method is convergent, computationally stable and highly accurate. |
| format | Article |
| id | my.utm.eprints-6503 |
| institution | Universiti Teknologi Malaysia |
| language | en |
| publishDate | 2006 |
| record_format | eprints |
| spelling | my.utm.eprints-65032017-10-22T01:39:49Z http://eprints.utm.my/6503/ A High Accuracy Variant of The Iterative Alternating Decomposition Explicit Method for Solving The Heat Equation Sahimi, M. S. Mansor, N. A Nor, N. M. Nusi, N. M. Alias, N. QA Mathematics We consider three level difference replacements of parabolic equations focusing on the heat equation in two space dimensions. Through a judicious splitting of the approximation,the scheme qualifies as an alternating direction implicit (ADI) method. Using the well known fact of the parabolic-elliptic correspondence, we shall derive a two stage iterative procedure employing a fractional splitting strategy applied alternately at each intermediate time step to the one dimensional heat equation. As the basis of derivation is the unconditionally stable (4,2) accurate ADI scheme, this method is convergent, computationally stable and highly accurate. 2006 Article PeerReviewed application/pdf en http://eprints.utm.my/6503/1/f121792104116853.pdf Sahimi, M. S. and Mansor, N. A and Nor, N. M. and Nusi, N. M. and Alias, N. (2006) A High Accuracy Variant of The Iterative Alternating Decomposition Explicit Method for Solving The Heat Equation. International Journal of Simulation and processing Modelling , 2 (1/2). pp. 45-49. |
| spellingShingle | QA Mathematics Sahimi, M. S. Mansor, N. A Nor, N. M. Nusi, N. M. Alias, N. A High Accuracy Variant of The Iterative Alternating Decomposition Explicit Method for Solving The Heat Equation |
| title | A High Accuracy Variant of The Iterative Alternating
Decomposition Explicit Method for Solving The Heat Equation |
| title_full | A High Accuracy Variant of The Iterative Alternating
Decomposition Explicit Method for Solving The Heat Equation |
| title_fullStr | A High Accuracy Variant of The Iterative Alternating
Decomposition Explicit Method for Solving The Heat Equation |
| title_full_unstemmed | A High Accuracy Variant of The Iterative Alternating
Decomposition Explicit Method for Solving The Heat Equation |
| title_short | A High Accuracy Variant of The Iterative Alternating
Decomposition Explicit Method for Solving The Heat Equation |
| title_sort | high accuracy variant of the iterative alternating
decomposition explicit method for solving the heat equation |
| topic | QA Mathematics |
| url | http://eprints.utm.my/6503/1/f121792104116853.pdf http://eprints.utm.my/6503/ |
| url_provider | http://eprints.utm.my/ |