Stability analysis of three-level difference schemes for initial-boundary problems for multidimensional convective-diffusion equations

DOI10.1002/cnm.1640090707zbMath0779.65057OpenAlexW2036037311MaRDI QIDQ3136774

Kin-Kiu Tam, Yue Kuen Kwok

Publication date: 6 October 1993

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

Full work available at URL: https://doi.org/10.1002/cnm.1640090707

zbMATH Keywords

initial-value problemsboundary-value problemsleap-frogvon Neumann stabilitymatrix stabilityconvective-diffusion equationthree-level difference schemes

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 second-order parabolic equations (35K15)

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Cites Work

• Analytical, linear stability criteria for the leap-frog, DuFort-Frankel method
• Linear stability of finite difference equations for three-dimensional flow problems
• Stability Analysis of Finite Difference Schemes for the Advection-Diffusion Equation
• The stability of explicit Euler time-integration for certain finite difference approximations of the multi-dimensional advection-diffusion equation
• Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations
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