A stable finite difference scheme for solving a hyperbolic two‐step model in a 3D micro sphere exposed to ultrashort‐pulsed lasers

DOI10.1108/09615530610679066zbMath1182.80015OpenAlexW1985391119MaRDI QIDQ5189476

Hertong Song, S. Su, Weizhong Dai, R. F. Nassar

Publication date: 16 March 2010

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/09615530610679066

zbMATH Keywords

heat transferfinite difference methodsnumerical analysisstability (control theory)

Mathematics Subject Classification ID

Related Items (11)

Meshless local radial point interpolation (MLRPI) to two dimensional wave equation with Neumann’s boundary conditions ⋮ A New Fast Algorithm Based on Half-Step Discretization for 3D Quasilinear Hyperbolic Partial Differential Equations ⋮ High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: application to 3D telegraphic equation ⋮ Meshless local radial point interpolation to three-dimensional wave equation with Neumann's boundary conditions ⋮ A finite difference method for studying thermal deformation in a 3D thin film exposed to ultrashort pulsed lasers ⋮ Cosine expansion based differential quadrature algorithm for numerical simulation of two dimensional hyperbolic equations with variable coefficients ⋮ A new off-step high order approximation for the solution of three-space dimensional nonlinear wave equations ⋮ Parabolic two-step model and accurate numerical scheme for nanoscale heat conduction induced by ultrashort-pulsed laser heating ⋮ High resolution operator compact implicit half-step approximation for 3D quasi-linear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain ⋮ 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

• A stable three-level finite difference scheme for solving the parabolic two-step model in a 3D micro-sphere heated by ultrashort-pulsed lasers
• 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

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