Numerical approximate controllability for unidimensional parabolic integro-differential equations

Hengzhi Zhao, Jiwei Zhang and Jing Lu

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 204, issue C, 575-596

Abstract: This paper discusses numerical solutions for the control functions of parabolic integro-differential equations under the assumption of approximate controllability. It is proved theoretically that the numerical solution for the control function converges to the exact solution, and the validity of the theory is demonstrated from different perspectives through four numerical simulation examples.

Keywords: Approximately controllable; Conjugate gradient method; Full discrete error estimation; Numerical simulation; Parabolic integro-differential equation (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:204:y:2023:i:c:p:575-596

DOI: 10.1016/j.matcom.2022.09.001

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