Numerical method for solving the time-fractional dual-phase-lagging heat conduction equation with the temperature-jump boundary condition

DOI10.1007/S10915-017-0588-3zbMath1422.65158OpenAlexW2767493243MaRDI QIDQ1651316

Weizhong Dai, Zhi-zhong Sun, Cui-cui Ji

Publication date: 12 July 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0588-3

zbMATH Keywords

stabilityconvergencefinite difference schemenanoscale heat transfertemperature-jump boundary conditionfractional DPL model

Mathematics Subject Classification ID

Heat equation (35K05) 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) Statistical mechanics of semiconductors (82D37) Fractional partial differential equations (35R11) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (8)

Analytical and numerical analysis of time fractional dual-phase-lag heat conduction during short-pulse laser heating ⋮ A Numerical-Analytical Method for Time-Fractional Dual-Phase-Lag Models of Heat Transfer ⋮ A Fractional-Order Alternative for Phase-Lagging Equation ⋮ Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the TimeFractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation ⋮ A Lagrange-quadratic spline optimal collocation method for the time tempered fractional diffusion equation ⋮ A fractional-order equation and its finite difference scheme for approximating a delay equation ⋮ Numerical schemes for solving the time-fractional dual-phase-lagging heat conduction model in a double-layered nanoscale thin film ⋮ Fractional parabolic two-step model and its accurate numerical scheme for nanoscale heat conduction

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