Uniform difference scheme for a singularly perturbed linear 2nd order hyperbolic problem with zeroth order reduced equation

DOI10.1007/BF02015113zbMath0803.65090OpenAlexW2007226635MaRDI QIDQ1191507

Yucheng Su, Ping Lin

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/bf02015113

zbMATH Keywords

convergencesingular perturbationasymptotic solutionenergy inequalityexponentially fitted difference schemediscrete energy normlinear hyperbolic problem of second orderzeroth- order reduced equation

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 (4)

Parameter-uniform hybrid difference scheme for solutions and derivatives in singularly perturbed initial value problems ⋮ A uniformly convergent finite difference method for a singularly perturbed intial value problem ⋮ An exponentially fitted difference scheme for the hyperbolic-hyperbolic singularly perturbed initial-boundary value problem ⋮ Singularly perturbed problems in partial differential equations: A survey

Cites Work

• Energy Inequalities for the Solution of Differential Equations
• THE ANGULAR BOUNDARY LAYER IN MIXED SINGULARLY PERTURBED PROBLEMS FOR HYPERBOLIC EQUATIONS
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