A second-order finite difference scheme for solving the dual-phase-lagging equation in a double-layered nanoscale thin film

DOI10.1002/NUM.22078zbMath1359.65161OpenAlexW2556854761WikidataQ115398059 ScholiaQ115398059MaRDI QIDQ2957437

Weizhong Dai, Hong Sun, Zhi-zhong Sun

Publication date: 26 January 2017

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22078

zbMATH Keywords

stabilitynumerical examplefinite difference methodheat conduction equation in double layers

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)

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Cites Work

• Nonlocal behavior in phonon transport
• Maximum norm error estimates of efficient difference schemes for second-order wave equations
• Study of heat transfer in multilayered structure within the framework of dual-phase-lag heat conduction model using lattice Boltzmann method
• Effect of boundary phonon scattering on dual-phase-lag model to simulate micro- and nano-scale heat conduction
• A high order accurate numerical method for solving two‐dimensional dual‐phase‐lagging equation with temperature jump boundary condition in nanoheat conduction
• An unconditionally stable three level finite difference scheme for solving parabolic two-step micro heat transport equations in a three-dimensional double-layered thin film

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