Numerical simulation with the second order compact approximation of first order derivative for the modified fractional diffusion equation

Y. Chen and Chang-Ming Chen

Applied Mathematics and Computation, 2018, vol. 320, issue C, 319-330

Abstract: In this paper, based on the second order compact approximation formula of first order derivative, the numerical simulation method with second order temporal accuracy and fourth order spatial accuracy is developed to simulate the modified fractional diffusion equation; the convergence, stability and solvability of the numerical simulation method are analyzed by Fourier analysis and algebraic theory, respectively; the theoretical results extremely consistent with the numerical experiment.

Keywords: The modified fractional diffusion equation; The second order compact approximation of first order derivative; Convergence; Stability; Solvability; Fourier analysis (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:320:y:2018:i:c:p:319-330

DOI: 10.1016/j.amc.2017.07.070

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