Numerical solution of the singularly perturbed problem for the hyperbolic equation with initial jump

DOI10.1007/BF02015145zbMath0803.65091OpenAlexW2013650310MaRDI QIDQ1191535

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/bf02015145

zbMATH Keywords

convergenceinitial-boundary value problemdifference schemesecond-order hyperbolic equationdiscrete energy norm

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 (1)

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

Cites Work

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• A singularly perturbed Cauchy problem
• Energy Inequalities for the Solution of Differential Equations
• Singular Perturbations for a Semilinear Hyperbolic Equation
• Solution of a boundary value problem for an elliptic equation with a small parameter for the leading derivatives

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