Note on the Convergence of a Finite Volume Scheme for a Second Order Hyperbolic Equation with a Time Delay in Any Space Dimension

DOI10.1007/978-3-030-43651-3_28zbMath1454.65071OpenAlexW3034197260MaRDI QIDQ5117451

Abdallah Bradji, Fayssal Benkhaldoun

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43651-3_28

zbMATH Keywords

convergenceSUSHIdiscrete a priori estimatehyperbolic delay equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08) PDEs on time scales (35R07)

Related Items (4)

A finite volume scheme for a wave equation with several time independent delays ⋮ Convergence analysis of a finite volume scheme for a distributed order diffusion equation ⋮ SUSHI for a non-linear time fractional diffusion equation with a time independent delay ⋮ Novel analysis approach for the convergence of a second order time accurate mixed finite element scheme for parabolic equations

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• A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension

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