High accuracy stable numerical solution of 1D microscale heat transport equation

DOI10.1002/cnm.453zbMath0995.65092OpenAlexW2053289134MaRDI QIDQ2780779

Jun Zhang, Jennifer J. Zhao

Publication date: 14 March 2002

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.453

zbMATH Keywords

stabilityfinite difference schemeCrank-Nicolson methodheat transport equationnumerical comparisonfourth-order compact scheme

Mathematics Subject Classification ID

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) Initial value problems for higher-order parabolic equations (35K30)

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