Stability criterion for a family of nonlocal difference schemes

DOI10.1134/S0012266110070050zbMath1205.65247OpenAlexW2078289918MaRDI QIDQ610380

V. A. Morozova, N. S. Udovichenko, A. V. Gulin

Publication date: 8 December 2010

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

Full work available at URL: https://doi.org/10.1134/s0012266110070050

zbMATH Keywords

stabilityheat equationerror boundsnonlocal boundary conditionsfinite-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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (10)

On Stability Analysis of Finite-Difference Schemes for Some Parabolic Problems with Nonlocal Boundary Conditions ⋮ Stability of a nonlocal difference problem with a complex parameter ⋮ Alternating direction method for the Poisson equation with variable weight coefficients in an integral condition ⋮ A difference method for solving the Steklov nonlocal boundary value problem of second kind for the time-fractional diffusion equation ⋮ On the spectral properties of three-layer difference schemes for parabolic equations with nonlocal conditions ⋮ Unnamed Item ⋮ Stability and convergence of difference schemes approximating a two-parameter nonlocal boundary value problem for time-fractional diffusion equation ⋮ ON CONSTRUCTION AND ANALYSIS OF FINITE DIFFERENCE SCHEMES FOR PSEUDOPARABOLIC PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS ⋮ ON STABILITY ANALYSIS OF FINITE DIFFERENCE SCHEMES FOR GENERALIZED KURAMOTO-TSUZUKI EQUATION WITH NONLOCAL BOUNDARY CONDITIONS ⋮ Stability and convergence of difference schemes approximating a nonlocal Steklov boundary value problem of the second class

Cites Work

• Difference scheme for the Samarskii-Ionkin problem with a parameter
• On a family of nonlocal difference schemes
• The effect of a parameter in a boundary condition on the stability of difference schemes

This page was built for publication: Stability criterion for a family of nonlocal difference schemes