Uniform difference scheme for hyperbolic-hyperbolic singular perturbation mixed problems

DOI10.1007/BF01898226zbMath0631.65082OpenAlexW2054498340MaRDI QIDQ1094834

Guangyan Yin

Publication date: 1986

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01898226

zbMATH Keywords

numerical exampleasymptotic solutionsmall parameteruniform convergencedifference schemeenergy inequalitysecond order hyperbolic- hyperbolic singular perturbation mixed problem

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for second-order hyperbolic equations (35L15) Ordinary differential operators (34L99)

Related Items

Singularly perturbed problems in partial differential equations: A survey

Cites Work

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• Singular perturbations for a class of nonlinear hyperbolic-hyperbolic problems
• On the mixed problem for a hyperbolic equation with a small parameter