Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method

By Maria Luísa Morgado, Magda Rebelo, Lu´ıs L. Ferr´as, Neville J. Ford. 2017

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Abstract In this work we present a new numerical method for the solution of the distributed order time-fractional diffusion equation. The method is based on the approximation of the solution by a double Chebyshev truncated series, and the subsequent collocation of the resulting discretised system of equations at suitable collocation points. An error analysis is provided and a comparison with other methods used in the solution of this type of equation is also performed.

Subfields: Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/2c606b82abc52f733abbac4c98dfce040dae8b65