### Abstract

Original language | English |
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Pages | 850-858 |

Publication status | Published - Jul 2015 |

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### Cite this

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

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**Comparison of different numerical methods for the solution of the time-fractional reaction-diffusion equation with variable diffusion coefficient.** / Rebelo, Magda; Ferrás, Luis; Morgado, Maria Luísa .

Research output: Contribution to conference › Paper

TY - CONF

T1 - Comparison of different numerical methods for the solution of the time-fractional reaction-diffusion equation with variable diffusion coefficient

AU - Rebelo, Magda

AU - Ferrás, Luis

AU - Morgado, Maria Luísa

N1 - Sem PDF.

PY - 2015/7

Y1 - 2015/7

N2 - 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.

AB - 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.

M3 - Paper

SP - 850

EP - 858

ER -