Crank-Nicolson finite difference method for two-dimensional fractional sub-diffusion equation
A Crank-Nicolson finite difference method is presented to solve the time fractional two-dimensional sub-diffusion equation in the case where the Gr¨unwald-Letnikov definition is used for the time-fractional derivative. The stability and convergence of the proposed Crank-Nicolson scheme are also an...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
International Scientific Publications and Consulting Services (ISPACS)
2017
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| Subjects: | |
| Online Access: | http://eprints.usm.my/38542/1/Crank-Nicolson_finite_difference_method_for_two-dimensional_fractional_sub-diffusion_equation.pdf http://eprints.usm.my/38542/ https://doi.org/10.5899/2017/jiasc-00117 |
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| Institution: | Universiti Sains Malaysia |
| Language: | English |
| Summary: | A Crank-Nicolson finite difference method is presented to solve the time fractional two-dimensional sub-diffusion
equation in the case where the Gr¨unwald-Letnikov definition is used for the time-fractional derivative. The stability
and convergence of the proposed Crank-Nicolson scheme are also analyzed. Finally, numerical examples are presented
to test that the numerical scheme is accurate and feasible. |
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