A fully discrete θ-method for solving semi-linear reaction–diffusion equations with time-variable delay

Changyang Tang and Chengjian Zhang

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 179, issue C, 48-56

Abstract: In this paper, a fully discrete θ-method with 0≤θ≤1 is suggested to solve the initial–boundary value problem of semi-linear reaction–diffusion equations with time-variable delay. Under some appropriate conditions, a novel global stability criterion of the method is derived and it is shown that this method has the computational accuracy O(τ2+h2)(resp.O(τ+h2)) when θ=12(resp.θ≠12), where h and τ denote spatial and temporal stepsizes, respectively. Moreover, with some numerical experiments, the theoretical accuracy and global stability of the method are further illustrated.

Keywords: Semi-linear reaction–diffusion equations; Time-variable delay; Fully discrete θ-method; Error analysis; Global stability (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:179:y:2021:i:c:p:48-56

DOI: 10.1016/j.matcom.2020.07.019

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