Numerical simulation with high order accuracy for the time fractional reaction–subdiffusion equation

Y. Chen and Chang-Ming Chen

Mathematics and Computers in Simulation (MATCOM), 2017, vol. 140, issue C, 125-138

Abstract: In this paper, we propose the numerical simulation method with second order temporal accuracy and fourth order spatial accuracy for the time fractional reaction–subdiffusion equation; the stability, convergence and solvability of the numerical simulation method respectively are discussed by Fourier analysis and algebraic theory; the theoretical analysis results very consistent with the numerical experiment.

Keywords: The time fractional reaction–subdiffusion equation; The numerical simulation method with second order temporal accuracy and fourth order spatial accuracy; Stability; Solvability; Convergence (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:140:y:2017:i:c:p:125-138

DOI: 10.1016/j.matcom.2017.03.008

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