On the stability of a nonlocal finite-difference boundary value problem

DOI10.1023/B:DIEQ.0000009192.30909.13zbMath1063.65090OpenAlexW2043797704MaRDI QIDQ1769009

A. V. Gulin, V. A. Morozova

Publication date: 15 March 2005

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:dieq.0000009192.30909.13

zbMATH Keywords

stabilityheat equationnonlocal boundary conditionsvariable coefficientssymmetrizable difference schemes

Mathematics Subject Classification ID

Heat equation (35K05) 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)

Related Items (12)

Stability of nonlocal finite-difference problems ⋮ The Sturm-Liouville problem with a nonlocal boundary condition ⋮ On the stability of parabolic differential and difference equations with a time-nonlocal condition ⋮ Stability in the right-hand side of nonlocal difference schemes ⋮ On the stability of a finite-difference scheme for nonlocal parabolic boundary-value problems ⋮ On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems ⋮ Well-posedness of the boundary value problem for parabolic equations in difference analogues of spaces of smooth functions ⋮ A stability criterion for a difference scheme in a nonlocal heat conduction problem ⋮ Unnamed Item ⋮ The effect of a parameter in a boundary condition on the stability of difference schemes ⋮ Stability of difference schemes for two-dimensional parabolic equations with non-local boundary conditions ⋮ INVESTIGATION OF SPECTRUM CURVES FOR A STURM-LIOUVILLE PROBLEM WITH TWO-POINT NONLOCAL BOUNDARY CONDITIONS

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