Fractional parabolic two-step model and its accurate numerical scheme for nanoscale heat conduction
DOI10.1016/j.cam.2020.112812zbMath1435.65134OpenAlexW3010140295MaRDI QIDQ2309278
Weizhong Dai, Shujun Shen, Jin-Fa Cheng
Publication date: 30 March 2020
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.2020.112812
stabilityconvergencecompact finite difference schemeCaputo fractional derivativenanoscale heat conductionultrashort-pulsed laser heating
Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Lasers, masers, optical bistability, nonlinear optics (78A60) Direct numerical methods for linear systems and matrix inversion (65F05) Fractional partial differential equations (35R11) Statistical mechanics of nanostructures and nanoparticles (82D80) Diffusive and convective heat and mass transfer, heat flow (80A19)
Related Items (2)
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