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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Variable Coefficients
Reaction-diffusion Equations
Diffusion Coefficient
Numerical Scheme
Fractional
Numerical Methods
Nonlinear Source
Fractional Diffusion Equation
Implicit Scheme
Fractional Differential Equation
Source Terms
Applied mathematics
Numerical Approximation
System of Ordinary Differential Equations
Polynomial

Cite this

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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 .

2015. 850-858.

Research output: Contribution to conferencePaper

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