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A Lagrange-quadratic spline optimal collocation method for the time tempered fractional diffusion equation.
- Source :
-
Mathematics & Computers in Simulation . Apr2021, Vol. 182, p1-24. 24p. - Publication Year :
- 2021
-
Abstract
- In the current paper, for the time fractional diffusion equation with an exponential tempering, we propose a numerical algorithm based on the Lagrange-quadratic spline interpolations and the optimal technique. The discretized linear systems and some properties are investigated in detail. By using these properties, the coefficient matrix and the right-hand term at each time step are given to analyze the computational cost. Theoretical analyses show that this proposed method enjoys both stability and convergence order of O (τ 2 + h 4). Some numerical examples are provided to verify the practical feasibility and efficiency of the proposed scheme. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03784754
- Volume :
- 182
- Database :
- Academic Search Index
- Journal :
- Mathematics & Computers in Simulation
- Publication Type :
- Periodical
- Accession number :
- 147856494
- Full Text :
- https://doi.org/10.1016/j.matcom.2020.10.016