Comparison of different numerical methods for the solution of the time-fractional reaction-diffusion equation with variable diffusion coefficient
In this work we perform a comparison of two different numerical schemes for the solution of the time-fractional diffusion equation with variable diffusion coefficient and a nonlinear source term. The two methods are the implicit numerical scheme presented in [M.L. Morgado, M. Rebelo, Numerical appro...
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| Other Authors: | , |
| Format: | conferencePaper |
| Language: | eng |
| Published: |
2015
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| Subjects: | |
| Online Access: | https://hdl.handle.net/1822/39268 |
| Country: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/39268 |
| Summary: | In this work we perform a comparison of two different numerical schemes for the solution of the time-fractional diffusion equation with variable diffusion coefficient and a nonlinear source term. The two methods are the implicit numerical scheme presented in [M.L. Morgado, M. Rebelo, Numerical approximation of distributed order reaction- diffusion equations, Journal of Computational and Applied Mathematics 275 (2015) 216-227] that is adapted to our type of equation, and a colocation method where Chebyshev polynomials are used to reduce the fractional differential equation to a system of ordinary differential equations |
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