An alternative discretization and solution procedure for the dual phase-lag equation

DOI10.1016/j.jcp.2006.03.023zbMath1105.65094OpenAlexW2022208881MaRDI QIDQ856381

Tianliang Yang, I. Kunadian, Ratnesh R. Kumar, James M. McDonough

Publication date: 7 December 2006

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.03.023

zbMATH Keywords

convergencefinite difference methodnumerical examplesdelay equationstruncation errorheat transport equationmicroscalevon Neumann stabilityconjugate gradient iterationphase lagsDouglas-Gunn time splittingtrapezoidal integration in time

Mathematics Subject Classification ID

Heat equation (35K05) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

Dual-phase lag equation. Stability conditions of a numerical algorithm based on the explicit scheme of the finite difference method ⋮ Accuracy improvement of a multistep splitting method for nonlinear viscous wave equations ⋮ High-order finite difference methods for a second order dual-phase-lagging models of microscale heat transfer ⋮ A new fourth‐order numerical algorithm for a class of three‐dimensional nonlinear evolution equations ⋮ Unconditional stability of a numerical method for the dual-phase-lag equation ⋮ Analysis and application of a compact multistep ADI solver for a class of nonlinear viscous wave equations

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