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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Bibliographic Details
Main Author: Ahmed Jassim
Format: Article
Language:Arabic
Published: Mosul University 2006-07-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
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
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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.
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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
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