A compact finite-difference scheme for solving a one-dimensional heat transport equation at the microscale

DOI10.1016/S0377-0427(00)00445-3zbMath0988.65074OpenAlexW2089554321WikidataQ127633484 ScholiaQ127633484MaRDI QIDQ5946115

R. F. Nassar, Weizhong Dai

Publication date: 26 June 2002

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00445-3

zbMATH Keywords

stabilitynumerical examplesheat transport equationmicroscalecompact finite difference methoddiscrete Fourier analysis

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) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

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Cites Work

• Compact finite difference schemes with spectral-like resolution
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