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

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摘要

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.

论文关键词:Parabolic equations,Delay,Scheme with weights,Variable coefficient of heat conductivity

论文评审过程:Available online 2 February 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2014.12.149