### Abstract

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 Cheby-shev polynomials are used to reduce the fractional differential equation to a system of ordinary differential equations.

Original language | English |
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Pages | 850-858 |

Publication status | Published - Jul 2015 |

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## Cite this

Rebelo, M., Ferrás, L., & Morgado, M. L. (2015).

*Comparison of different numerical methods for the solution of the time-fractional reaction-diffusion equation with variable diffusion coefficient*. 850-858.