A splitting type algorithm for numerical solution of PDEs of fractional order
Fractional order diffusion equations are generalizations of classical diffusion equations, treating super‐diffusive flow processes. In this paper, we examine a splitting type numerical methods to solve a class of two‐dimensional initial‐boundary value fractional diffusive equations. Stability, consi...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2007-12-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/7138 |
| _version_ | 1828883595447500800 |
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| author | Natali Abrashina‐Zhadaeva |
| author_facet | Natali Abrashina‐Zhadaeva |
| author_sort | Natali Abrashina‐Zhadaeva |
| collection | DOAJ |
| description | Fractional order diffusion equations are generalizations of classical diffusion equations, treating super‐diffusive flow processes. In this paper, we examine a splitting type numerical methods to solve a class of two‐dimensional initial‐boundary value fractional diffusive equations. Stability, consistency and convergence of the methods are investigated. It is shown that both schemes are unconditionally stable. A numerical example is presented.
First Published Online: 14 Oct 2010 |
| first_indexed | 2024-12-13T10:51:28Z |
| format | Article |
| id | doaj.art-f14577b855614c2a9054ac3bb9761ca3 |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-13T10:51:28Z |
| publishDate | 2007-12-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-f14577b855614c2a9054ac3bb9761ca32022-12-21T23:49:48ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102007-12-0112410.3846/1392-6292.2007.12.399-408A splitting type algorithm for numerical solution of PDEs of fractional orderNatali Abrashina‐Zhadaeva0Belarusian State University, Fr. Skaryny ave, 4, Minsk, BelarusFractional order diffusion equations are generalizations of classical diffusion equations, treating super‐diffusive flow processes. In this paper, we examine a splitting type numerical methods to solve a class of two‐dimensional initial‐boundary value fractional diffusive equations. Stability, consistency and convergence of the methods are investigated. It is shown that both schemes are unconditionally stable. A numerical example is presented. First Published Online: 14 Oct 2010https://journals.vgtu.lt/index.php/MMA/article/view/7138fractional partial differential equationfinite difference approximationsplitting schemestability analysis |
| spellingShingle | Natali Abrashina‐Zhadaeva A splitting type algorithm for numerical solution of PDEs of fractional order Mathematical Modelling and Analysis fractional partial differential equation finite difference approximation splitting scheme stability analysis |
| title | A splitting type algorithm for numerical solution of PDEs of fractional order |
| title_full | A splitting type algorithm for numerical solution of PDEs of fractional order |
| title_fullStr | A splitting type algorithm for numerical solution of PDEs of fractional order |
| title_full_unstemmed | A splitting type algorithm for numerical solution of PDEs of fractional order |
| title_short | A splitting type algorithm for numerical solution of PDEs of fractional order |
| title_sort | splitting type algorithm for numerical solution of pdes of fractional order |
| topic | fractional partial differential equation finite difference approximation splitting scheme stability analysis |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/7138 |
| work_keys_str_mv | AT nataliabrashinazhadaeva asplittingtypealgorithmfornumericalsolutionofpdesoffractionalorder AT nataliabrashinazhadaeva splittingtypealgorithmfornumericalsolutionofpdesoffractionalorder |