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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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  • Lekomtsev, Andrey
  • Pimenov, Vladimir

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.

Suggested Citation

  • Lekomtsev, Andrey & Pimenov, Vladimir, 2015. "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," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 83-93.
    • Handle: RePEc:eee:apmaco:v:256:y:2015:i:c:p:83-93
    DOI: 10.1016/j.amc.2014.12.149
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    Cited by:

    1. Vsevolod G. Sorokin & Andrei V. Vyazmin, 2022. "Nonlinear Reaction–Diffusion Equations with Delay: Partial Survey, Exact Solutions, Test Problems, and Numerical Integration," Mathematics, MDPI, vol. 10(11), pages 1-39, May.
    2. Vladimir Pimenov & Andrei Lekomtsev, 2023. "Numerical Method for Solving the Nonlinear Superdiffusion Equation with Functional Delay," Mathematics, MDPI, vol. 11(18), pages 1-14, September.

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