An Extension Use of ADI Method in the Solution of Biharmonic Equation
The Biharmonic equation is one of partial differential equations which arise from discussion of some applied sciences such as fluid dynamics. In this paper, we have adopted a numerical method to solve that equation, this method is developed basically from ADI (Alternating- Direction- Implicit) finit...
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Format: | Article |
Language: | Arabic |
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Mosul University
2006-07-01
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Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
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Online Access: | https://csmj.mosuljournals.com/article_164038_7b8d14154f3952b9d8c7f2fdd4dc12b5.pdf |
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author | Ahmed Jassim |
author_facet | Ahmed Jassim |
author_sort | Ahmed Jassim |
collection | DOAJ |
description | The Biharmonic equation is one of partial differential equations which arise from discussion of some applied sciences such as fluid dynamics. In this paper, we have adopted a numerical method to solve that equation, this method is developed basically from ADI (Alternating- Direction- Implicit) finite difference method which was used in the solution of Laplace equation. |
first_indexed | 2024-04-12T18:12:15Z |
format | Article |
id | doaj.art-789f58754e154a63b97bba9af87fa139 |
institution | Directory Open Access Journal |
issn | 1815-4816 2311-7990 |
language | Arabic |
last_indexed | 2024-04-12T18:12:15Z |
publishDate | 2006-07-01 |
publisher | Mosul University |
record_format | Article |
series | Al-Rafidain Journal of Computer Sciences and Mathematics |
spelling | doaj.art-789f58754e154a63b97bba9af87fa1392022-12-22T03:21:46ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902006-07-0131859410.33899/csmj.2006.164038164038An Extension Use of ADI Method in the Solution of Biharmonic EquationAhmed Jassim0College of Computer sciences and Mathematics University of Mosul, IraqThe Biharmonic equation is one of partial differential equations which arise from discussion of some applied sciences such as fluid dynamics. In this paper, we have adopted a numerical method to solve that equation, this method is developed basically from ADI (Alternating- Direction- Implicit) finite difference method which was used in the solution of Laplace equation.https://csmj.mosuljournals.com/article_164038_7b8d14154f3952b9d8c7f2fdd4dc12b5.pdfpartial differential equationfinite difference methodalternating- direction- implicitlaplace equationbiharmonic equation |
spellingShingle | Ahmed Jassim An Extension Use of ADI Method in the Solution of Biharmonic Equation Al-Rafidain Journal of Computer Sciences and Mathematics partial differential equation finite difference method alternating- direction- implicit laplace equation biharmonic equation |
title | An Extension Use of ADI Method in the Solution of Biharmonic Equation |
title_full | An Extension Use of ADI Method in the Solution of Biharmonic Equation |
title_fullStr | An Extension Use of ADI Method in the Solution of Biharmonic Equation |
title_full_unstemmed | An Extension Use of ADI Method in the Solution of Biharmonic Equation |
title_short | An Extension Use of ADI Method in the Solution of Biharmonic Equation |
title_sort | extension use of adi method in the solution of biharmonic equation |
topic | partial differential equation finite difference method alternating- direction- implicit laplace equation biharmonic equation |
url | https://csmj.mosuljournals.com/article_164038_7b8d14154f3952b9d8c7f2fdd4dc12b5.pdf |
work_keys_str_mv | AT ahmedjassim anextensionuseofadimethodinthesolutionofbiharmonicequation AT ahmedjassim extensionuseofadimethodinthesolutionofbiharmonicequation |