Convergence of the scheme with weights for the numerical solution of a heat conduction equation with delay for the case of variable coefficient of heat conductivity

Andrey Lekomtsev and Vladimir Pimenov

Applied Mathematics and Computation, 2015, vol. 256, issue C, 83-93

Abstract: One-dimensional parabolic equations with delay effects in the time component for the case of variable coefficient of heat conductivity are considered. The scheme with weights is constructed for the numerical solution of these equations. The order of approximation error for the constructed scheme, stability, and order of convergence are investigated.

Keywords: Parabolic equations; Delay; Scheme with weights; Variable coefficient of heat conductivity (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:83-93

DOI: 10.1016/j.amc.2014.12.149

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