A Lagrange-quadratic spline optimal collocation method for the time tempered fractional diffusion equation

Wei-Hua Luo, Xian-Ming Gu, Liu Yang and Jing Meng

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 182, issue C, 1-24

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(τ2+h4). Some numerical examples are provided to verify the practical feasibility and efficiency of the proposed scheme.

Keywords: Fractional diffusion equations; Exponential tempering; Lagrange interpolations; Spline interpolations; Collocation method (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475420303566
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:182:y:2021:i:c:p:1-24

DOI: 10.1016/j.matcom.2020.10.016

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().