ANALISIS KONVERGENSI METODE BEDA HINGGA DALAM MENGHAMPIRI PERSAMAAN DIFUSI
The diffusion equation or known as heat equation is a parabolic and linear type of partial differential equation. One of the numerical method to approximate the solution of diffusion equations is Finite Difference Method (FDM). In this study, the analysis of numerical convergence of FDM to the solut...
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| Format: | Article |
| Language: | English |
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Universitas Udayana
2018-02-01
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| Series: | E-Jurnal Matematika |
| Online Access: | https://ojs.unud.ac.id/index.php/mtk/article/view/37596 |
| _version_ | 1819261876787216384 |
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| author | F. MUHAMMAD ZAIN M. GARDA KHADAFI P. H. GUNAWAN |
| author_facet | F. MUHAMMAD ZAIN M. GARDA KHADAFI P. H. GUNAWAN |
| author_sort | F. MUHAMMAD ZAIN |
| collection | DOAJ |
| description | The diffusion equation or known as heat equation is a parabolic and linear type of partial differential equation. One of the numerical method to approximate the solution of diffusion equations is Finite Difference Method (FDM). In this study, the analysis of numerical convergence of FDM to the solution of diffusion equation is discussed. The analytical solution of diffusion equation is given by the separation of variables approach. Here, the result show the convergence of rate the numerical method is approximately approach 2. This result is in a good agreement with the spatial error from Taylor expansion of spatial second derivative. |
| first_indexed | 2024-12-23T19:48:46Z |
| format | Article |
| id | doaj.art-e9cb2b4b94da4825816f0d548f0f59e8 |
| institution | Directory Open Access Journal |
| issn | 2303-1751 |
| language | English |
| last_indexed | 2024-12-23T19:48:46Z |
| publishDate | 2018-02-01 |
| publisher | Universitas Udayana |
| record_format | Article |
| series | E-Jurnal Matematika |
| spelling | doaj.art-e9cb2b4b94da4825816f0d548f0f59e82022-12-21T17:33:26ZengUniversitas UdayanaE-Jurnal Matematika2303-17512018-02-01711410.24843/MTK.2018.v07.i01.p17637596ANALISIS KONVERGENSI METODE BEDA HINGGA DALAM MENGHAMPIRI PERSAMAAN DIFUSIF. MUHAMMAD ZAIN0M. GARDA KHADAFI1P. H. GUNAWAN2Universitas TelkomUniversitas TelkomUniversitas TelkomThe diffusion equation or known as heat equation is a parabolic and linear type of partial differential equation. One of the numerical method to approximate the solution of diffusion equations is Finite Difference Method (FDM). In this study, the analysis of numerical convergence of FDM to the solution of diffusion equation is discussed. The analytical solution of diffusion equation is given by the separation of variables approach. Here, the result show the convergence of rate the numerical method is approximately approach 2. This result is in a good agreement with the spatial error from Taylor expansion of spatial second derivative.https://ojs.unud.ac.id/index.php/mtk/article/view/37596 |
| spellingShingle | F. MUHAMMAD ZAIN M. GARDA KHADAFI P. H. GUNAWAN ANALISIS KONVERGENSI METODE BEDA HINGGA DALAM MENGHAMPIRI PERSAMAAN DIFUSI E-Jurnal Matematika |
| title | ANALISIS KONVERGENSI METODE BEDA HINGGA DALAM MENGHAMPIRI PERSAMAAN DIFUSI |
| title_full | ANALISIS KONVERGENSI METODE BEDA HINGGA DALAM MENGHAMPIRI PERSAMAAN DIFUSI |
| title_fullStr | ANALISIS KONVERGENSI METODE BEDA HINGGA DALAM MENGHAMPIRI PERSAMAAN DIFUSI |
| title_full_unstemmed | ANALISIS KONVERGENSI METODE BEDA HINGGA DALAM MENGHAMPIRI PERSAMAAN DIFUSI |
| title_short | ANALISIS KONVERGENSI METODE BEDA HINGGA DALAM MENGHAMPIRI PERSAMAAN DIFUSI |
| title_sort | analisis konvergensi metode beda hingga dalam menghampiri persamaan difusi |
| url | https://ojs.unud.ac.id/index.php/mtk/article/view/37596 |
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