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

Magda Rebelo, Luis Ferrás, Maria Luísa Morgado

Research output: Contribution to conferencePaper

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 languageEnglish
Pages850-858
Publication statusPublished - Jul 2015

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