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.
Original language | English |
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Pages (from-to) | 108-123 |
Number of pages | 16 |
Journal | Applied Numerical Mathematics |
Volume | 114 |
DOIs | |
Publication status | Published - Apr 2017 |
Keywords
- Caputo derivative
- Chebyshev polynomials
- Diffusion equation
- Distributed order equation
- Fractional differential equation
- Spectral methods