Influence of complex coefficients on the stability of difference scheme for parabolic equations with non-local conditions

M. Sapagovas, T. Meškauskas and F. Ivanauskas

Applied Mathematics and Computation, 2018, vol. 332, issue C, 228-240

Abstract: The stability of a finite difference scheme for Schrödinger, Kuramoto–Tsuzuki and parabolic equations, subject to non-local conditions with complex coefficients, is dealt with. The stability conditions, which have to be met by complex coefficients in non-local conditions, have been determined. The main result of this study is that complex coefficients together with non-local conditions cause new effects on the stability of difference scheme. Numerical experiment has revealed additional regularities in the stability conditions.

Keywords: Non-local boundary condition; Complex coefficients; Eigenvalues of finite difference operator; Parabolic equation; Kuramoto–Tsuzuki equation; Stability of finite difference scheme (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:332:y:2018:i:c:p:228-240

DOI: 10.1016/j.amc.2018.03.072

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