Collocation-Based Approximation for a Time-Fractional Sub-Diffusion Model

Collocation-Based Approximation for a Time-Fractional Sub-Diffusion Model

We consider the numerical solution of a one-dimensional time-fractional diffusion problem, where the order of the Caputo time derivative belongs to (0, 1). Using the technique of the method of lines, we first develop from the original problem a system of fractional ordinary differential equations. U...

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Bibliographic Details
Main Authors: Kaido Lätt, Arvet Pedas, Hanna Britt Soots, Mikk Vikerpuur
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Fractal and Fractional
Subjects:
fractional differential equation
Caputo derivative
collocation method
graded grid
method of lines
sub-diffusion
Online Access:https://www.mdpi.com/2504-3110/7/9/657

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https://www.mdpi.com/2504-3110/7/9/657

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