Hybrid pseudospectral–finite difference method for solving a 3D heat conduction equation in a submicroscale thin film

DOI10.1002/num.20214zbMath1129.65056OpenAlexW2029492958WikidataQ115398686 ScholiaQ115398686MaRDI QIDQ5433229

No author found.

Publication date: 8 January 2008

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

Full work available at URL: https://doi.org/10.1002/num.20214

zbMATH Keywords

numerical examplespreconditioningconjugate gradient methodfinite difference methodspseudospectral methodsthin filmheat transport equationheat conduction equation

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (4)

Error analysis and applications of the Fourier-Galerkin Runge-Kutta schemes for high-order stiff PDEs ⋮ An approximate analytic solution of the heat conduction equation at nanoscale ⋮ High-order finite difference methods for a second order dual-phase-lagging models of microscale heat transfer ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A unified solution for heat conduction in thin films
• Comparison of Pseudospectral and Spectral Approximation

This page was built for publication: Hybrid pseudospectral–finite difference method for solving a 3D heat conduction equation in a submicroscale thin film