A finite difference scheme for solving a nonlinear hyperbolic two-step model in a double-layered thin film exposed to ultrashort-pulsed lasers with nonlinear interfacial conditions

DOI10.1016/J.NAHS.2007.07.001zbMath1157.80318OpenAlexW2071238675MaRDI QIDQ1005305

Tianchan Niu, Weizhong Dai

Publication date: 9 March 2009

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2007.07.001

zbMATH Keywords

finite difference schemeenergy estimateultrashort-pulsed laserhyperbolic two-step modelnonlinear interfacial conditions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Lasers, masers, optical bistability, nonlinear optics (78A60) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

Related Items (3)

Parabolic two-step model and accurate numerical scheme for nanoscale heat conduction induced by ultrashort-pulsed laser heating ⋮ Fractional parabolic two-step model and its accurate numerical scheme for nanoscale heat conduction ⋮ Accurate numerical scheme for solving fractional diffusion-wave two-step model for nanoscale heat conduction

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Use of the microscopic parabolic heat conduction model in place of the macroscopic model validation criterion under harmonic boundary heating
• Effect of interface thermal resistance on heat transfer in a composite medium using the thermal wave model
• The thermal behavior of thin metal films in the hyperbolic two-step model
• Hot-electron blast induced by ultrashort-pulsed lasers in layered media
• 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
• Thermal stability of superconductors under the effect of a two‐dimensional hyperbolic heat conduction model
• Theoretical Numerical Analysis
• Computational and Information Science
• Effect of thermal losses on the microscopic two-step heat conduction model.
• Temperature-dependent thermal lagging in ultrafast laser heating.

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