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

DOI10.1016/j.cam.2004.11.024zbMath1072.65115OpenAlexW1988808555MaRDI QIDQ557723

Ibrahima K. Kaba, Weizhong Dai

Publication date: 30 June 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.11.024

zbMATH Keywords

stabilitynumerical examplesmicro heat transport equationsmicro-sphere heated by pulsed lasersparabolic two-step heat equationsthree-level finite difference schemeultrashort-pulsed laser

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)

Related Items (6)

A finite difference method for studying thermal deformation in a 3D thin film exposed to ultrashort pulsed lasers ⋮ Cattaneo-Vernotte equation. Identification of relaxation time using evolutionary algorithms ⋮ A stable finite difference scheme for solving a hyperbolic two‐step model in a 3D micro sphere exposed to ultrashort‐pulsed lasers ⋮ 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

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