Difference schemes for time-dependent heat conduction models with delay

DOI10.1080/00207160.2013.779371zbMath1291.65259OpenAlexW2069425193MaRDI QIDQ4979545

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Publication date: 23 June 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.779371

zbMATH Keywords

finite differencesnon-Fourier heat conductionconvergence and stability

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Numerical methods for functional equations (65Q20)

Related Items (7)

A second-order box solver for nonlinear delayed convection-diffusion equations with Neumann boundary conditions ⋮ Stability and convergence of compact finite difference method for parabolic problems with delay ⋮ Explicit Richardson extrapolation methods and their analyses for solving two-dimensional nonlinear wave equation with delays ⋮ The Method of Fractional Steps for the Numerical Solution of a Multidimensional Heat Conduction Equation with Delay for the Case of Variable Coefficient of Heat Conductivity ⋮ Compact \(\theta \)-method for the generalized delay diffusion equation ⋮ Exact and analytic-numerical solutions of lagging models of heat transfer in a semi-infinite medium ⋮ Advanced computational engineering

Cites Work

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