An exponentially fitted difference scheme for the hyperbolic-hyperbolic singularly perturbed initial-boundary value problem

DOI10.1007/BF02098053zbMath0756.65114OpenAlexW2095375519MaRDI QIDQ1192862

Ping Lin, Yucheng Su

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf02098053

zbMATH Keywords

Uniform convergenceexponentially fitted difference schemehyperbolic-hyperbolic singularly perturbed initial-boundary value problem

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) 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 hyperbolic equations (35L15)

Related Items

Singularly perturbed problems in partial differential equations: A survey

Cites Work

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• Numerical solution of the singularly perturbed problem for the hyperbolic equation with initial jump
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• Energy Inequalities for the Solution of Differential Equations