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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Hindawi Limited
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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Article |
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doaj-7f0e33d23ed34a15977bbe02bca90d652020-11-24T21:10:38ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Fenghui Huang |
| spellingShingle |
Fenghui Huang A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations International Journal of Differential Equations |
| author_facet |
Fenghui Huang |
| author_sort |
Fenghui Huang |
| title |
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_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_sort |
time-space collocation spectral approximation for a class of time fractional differential equations |
| publisher |
Hindawi Limited |
| series |
International Journal of Differential Equations |
| issn |
1687-9643 1687-9651 |
| publishDate |
2012-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2012/495202 |
| work_keys_str_mv |
AT fenghuihuang atimespacecollocationspectralapproximationforaclassoftimefractionaldifferentialequations AT fenghuihuang timespacecollocationspectralapproximationforaclassoftimefractionaldifferentialequations |
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1716755762463637504 |