An experimental comparison of two preconditioned iterative methods to solve the elliptic partial differential equations
System of linear equations plays an important role in science and engineering. One of the applications of this system occurs in the discretization of the partial differential equations. This paper aims to investigate an experimental comparison between two kinds of iterative models for solving the el...
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| Format: | Article |
| Language: | English |
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REA Press
2022-03-01
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| Series: | Computational Algorithms and Numerical Dimensions |
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| Online Access: | https://www.journal-cand.com/article_155122_bb856f786f9d773da23584b65fb60bfa.pdf |
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| author | Seyyed Ahmad Edalatpanah |
| author_facet | Seyyed Ahmad Edalatpanah |
| author_sort | Seyyed Ahmad Edalatpanah |
| collection | DOAJ |
| description | System of linear equations plays an important role in science and engineering. One of the applications of this system occurs in the discretization of the partial differential equations. This paper aims to investigate an experimental comparison between two kinds of iterative models for solving the elliptic partial differential equations. Different tools of solution such as stationary and non-stationary iterative methods with preconditioning models have been studied. Two types of discretization schemes (centered and hybrid) have been also considered for the comparison of the solution. |
| format | Article |
| id | doaj-art-fe4863d182534e46be3e06abda3ff8c2 |
| institution | Kabale University |
| issn | 2980-7646 2980-9320 |
| language | English |
| publishDate | 2022-03-01 |
| publisher | REA Press |
| record_format | Article |
| series | Computational Algorithms and Numerical Dimensions |
| spelling | doaj-art-fe4863d182534e46be3e06abda3ff8c22025-01-30T11:20:12ZengREA PressComputational Algorithms and Numerical Dimensions2980-76462980-93202022-03-011112410.22105/cand.2022.155122155122An experimental comparison of two preconditioned iterative methods to solve the elliptic partial differential equationsSeyyed Ahmad Edalatpanah0Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran.System of linear equations plays an important role in science and engineering. One of the applications of this system occurs in the discretization of the partial differential equations. This paper aims to investigate an experimental comparison between two kinds of iterative models for solving the elliptic partial differential equations. Different tools of solution such as stationary and non-stationary iterative methods with preconditioning models have been studied. Two types of discretization schemes (centered and hybrid) have been also considered for the comparison of the solution.https://www.journal-cand.com/article_155122_bb856f786f9d773da23584b65fb60bfa.pdfsystem of linear equationsiterative methodspreconditioning techniquepartial differential equationsfinite differences methods |
| spellingShingle | Seyyed Ahmad Edalatpanah An experimental comparison of two preconditioned iterative methods to solve the elliptic partial differential equations Computational Algorithms and Numerical Dimensions system of linear equations iterative methods preconditioning technique partial differential equations finite differences methods |
| title | An experimental comparison of two preconditioned iterative methods to solve the elliptic partial differential equations |
| title_full | An experimental comparison of two preconditioned iterative methods to solve the elliptic partial differential equations |
| title_fullStr | An experimental comparison of two preconditioned iterative methods to solve the elliptic partial differential equations |
| title_full_unstemmed | An experimental comparison of two preconditioned iterative methods to solve the elliptic partial differential equations |
| title_short | An experimental comparison of two preconditioned iterative methods to solve the elliptic partial differential equations |
| title_sort | experimental comparison of two preconditioned iterative methods to solve the elliptic partial differential equations |
| topic | system of linear equations iterative methods preconditioning technique partial differential equations finite differences methods |
| url | https://www.journal-cand.com/article_155122_bb856f786f9d773da23584b65fb60bfa.pdf |
| work_keys_str_mv | AT seyyedahmadedalatpanah anexperimentalcomparisonoftwopreconditionediterativemethodstosolvetheellipticpartialdifferentialequations AT seyyedahmadedalatpanah experimentalcomparisonoftwopreconditionediterativemethodstosolvetheellipticpartialdifferentialequations |