FINITE-DIFFERENCE METHODS FOR PROBLEM OF CONJUGATION OF HYPERBOLIC AND PARABOLIC EQUATIONS

DOI10.1142/S0218202500000227zbMath1012.65087OpenAlexW2003953539MaRDI QIDQ4798798

V. I. Korzyuk, S. V. Lemeshevskij, A. A. Samarskij, Piotr P. Matus

Publication date: 16 March 2003

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

Full work available at URL: https://doi.org/10.1142/s0218202500000227

zbMATH Keywords

stabilityconvergenceconsistencyerror boundsconjugationmoving boundariesoperator-difference schemehyperbolic and parabolic equations

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (5)

Monotone difference schemes for equations with mixed derivatives ⋮ Evolution of the interface for an extended melting model ⋮ A note on the second order of accuracy stable difference schemes for the nonlocal boundary value hyperbolic problem ⋮ Analysis and numerical approximation of a parabolic-hyperbolic transmission problem ⋮ On stability of a third order of accuracy difference scheme for hyperbolic nonlocal BVP with self-adjoint operator

This page was built for publication: FINITE-DIFFERENCE METHODS FOR PROBLEM OF CONJUGATION OF HYPERBOLIC AND PARABOLIC EQUATIONS