A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations
A numerical scheme is presented for a class of time fractional differential equations with Dirichlet's and Neumann's boundary conditions. The model solution is discretized in time and space with a spectral expansion of Lagrange interpolation polynomial. Numerical results demonstrate the sp...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2012/495202 |
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| _version_ | 1832551742048305152 |
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| author | Fenghui Huang |
| author_facet | Fenghui Huang |
| author_sort | Fenghui Huang |
| collection | DOAJ |
| description | A numerical scheme is presented for a class of time fractional differential equations with Dirichlet's and Neumann's boundary conditions. The model solution is discretized in time and space with a spectral expansion of Lagrange interpolation polynomial. Numerical results demonstrate the spectral accuracy and efficiency of the collocation spectral method. The technique not only is easy to implement but also can be easily applied to multidimensional problems. |
| format | Article |
| id | doaj-art-7f0e33d23ed34a15977bbe02bca90d65 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-7f0e33d23ed34a15977bbe02bca90d652025-02-03T06:00:45ZengWileyInternational Journal of Differential Equations1687-96431687-96512012-01-01201210.1155/2012/495202495202A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential EquationsFenghui Huang0Department of Mathematics, School of Sciences, South China University of Technology, Guangzhou 510641, ChinaA numerical scheme is presented for a class of time fractional differential equations with Dirichlet's and Neumann's boundary conditions. The model solution is discretized in time and space with a spectral expansion of Lagrange interpolation polynomial. Numerical results demonstrate the spectral accuracy and efficiency of the collocation spectral method. The technique not only is easy to implement but also can be easily applied to multidimensional problems.http://dx.doi.org/10.1155/2012/495202 |
| spellingShingle | Fenghui Huang A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations International Journal of Differential Equations |
| title | A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations |
| title_full | A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations |
| title_fullStr | A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations |
| title_full_unstemmed | A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations |
| title_short | A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations |
| title_sort | time space collocation spectral approximation for a class of time fractional differential equations |
| url | http://dx.doi.org/10.1155/2012/495202 |
| work_keys_str_mv | AT fenghuihuang atimespacecollocationspectralapproximationforaclassoftimefractionaldifferentialequations AT fenghuihuang timespacecollocationspectralapproximationforaclassoftimefractionaldifferentialequations |