A note on the second order of accuracy difference schemes for hyperbolic--parabolic equations

DOI10.1016/j.amc.2004.04.033zbMath1074.65100OpenAlexW2038061812MaRDI QIDQ1780513

H. A. Yurtsever, Allaberen Ashyralyev

Publication date: 13 June 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.04.033

zbMATH Keywords

Hilbert spacenumerical experimentsnonlocal boundary value problemstability estimateshyperbolic-parabolic equationself-adjoint positive definite operatormixed type boundary value problemsecond order of accuracy difference schemes

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) Numerical solutions to equations with linear operators (65J10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Linear differential equations in abstract spaces (34G10)

Related Items (4)

Second order equations in functional spaces: qualitative and discrete well-posedness ⋮ On numerical solutions for hyperbolic-parabolic equations with the multipoint nonlocal boundary condition ⋮ On the Volterra property of a boundary problem with integral gluing condition for a mixed parabolic-hyperbolic equation ⋮ Stability of difference schemes for hyperbolic-parabolic equations

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