The Method of Lines for Ternary Diffusion Problems
The method of lines (MOL) for diffusion equations with Neumann boundary conditions is considered. These equations are transformed by a discretization in space variables into systems of ordinary differential equations. The proposed ODEs satisfy the mass conservation law. The stability of solutions of...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/517285 |
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| _version_ | 1832549431308713984 |
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| author | Henryk Leszczyński Milena Matusik |
| author_facet | Henryk Leszczyński Milena Matusik |
| author_sort | Henryk Leszczyński |
| collection | DOAJ |
| description | The method of lines (MOL) for diffusion equations with Neumann boundary conditions is considered. These equations are transformed by a discretization in space variables into systems of ordinary differential equations. The proposed ODEs satisfy the mass conservation law. The stability of solutions of these ODEs with respect to discrete L2 norms and discrete W1,∞ norms is investigated. Numerical examples confirm the parabolic behaviour of this model and very regular dynamics. |
| format | Article |
| id | doaj-art-398af62505a44d2681ffc16a1eef5ecc |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-398af62505a44d2681ffc16a1eef5ecc2025-02-03T06:11:20ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/517285517285The Method of Lines for Ternary Diffusion ProblemsHenryk Leszczyński0Milena Matusik1Institute of Mathematics, University of Gdańsk, Wit Stwosz Street 57, 80-952 Gdańsk, PolandInstitute of Mathematics, University of Gdańsk, Wit Stwosz Street 57, 80-952 Gdańsk, PolandThe method of lines (MOL) for diffusion equations with Neumann boundary conditions is considered. These equations are transformed by a discretization in space variables into systems of ordinary differential equations. The proposed ODEs satisfy the mass conservation law. The stability of solutions of these ODEs with respect to discrete L2 norms and discrete W1,∞ norms is investigated. Numerical examples confirm the parabolic behaviour of this model and very regular dynamics.http://dx.doi.org/10.1155/2014/517285 |
| spellingShingle | Henryk Leszczyński Milena Matusik The Method of Lines for Ternary Diffusion Problems Abstract and Applied Analysis |
| title | The Method of Lines for Ternary Diffusion Problems |
| title_full | The Method of Lines for Ternary Diffusion Problems |
| title_fullStr | The Method of Lines for Ternary Diffusion Problems |
| title_full_unstemmed | The Method of Lines for Ternary Diffusion Problems |
| title_short | The Method of Lines for Ternary Diffusion Problems |
| title_sort | method of lines for ternary diffusion problems |
| url | http://dx.doi.org/10.1155/2014/517285 |
| work_keys_str_mv | AT henrykleszczynski themethodoflinesforternarydiffusionproblems AT milenamatusik themethodoflinesforternarydiffusionproblems AT henrykleszczynski methodoflinesforternarydiffusionproblems AT milenamatusik methodoflinesforternarydiffusionproblems |