The hyperbolic-elliptic equation with the nonlocal condition

DOI10.1002/mma.2811zbMath1288.65133OpenAlexW2111091016MaRDI QIDQ5406963

Allaberen Ashyralyev, Faruk Özger

Publication date: 4 April 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2811

zbMATH Keywords

stabilityconvergencenumerical examplesemidiscretizationnonlocal boundary conditionequation of mixed typehyperbolic-elliptic equationfully discretized difference schemesuniqueness and stability of the solution

Mathematics Subject Classification ID

PDEs of mixed type (35M10) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

Second order equations in functional spaces: qualitative and discrete well-posedness ⋮ On the absolute stable difference scheme for the space‐wise dependent source identification problem for elliptic‐telegraph equation ⋮ A note on nonlocal boundary value problems for hyperbolic Schrödinger equations

Cites Work

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• Some non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type
• Hyperbolic-parabolic singular perturbation for quasilinear equations of Kirchhoff type with weak dissipation
• A Note on the Difference Schemes of the Nonlocal Boundary Value Problems for Hyperbolic Equations

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