On the spectral stability in subspaces for difference schemes with nonlocal boundary conditions

DOI10.1134/S0012266113070045zbMath1282.65107MaRDI QIDQ2435158

A. V. Gulin

Publication date: 3 February 2014

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

zbMATH Keywords

stabilityheat equationnumerical examplesdifference schemenonlocal boundary conditionsinitial boundary value problem

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 (10)

On the stability of nonlocal difference schemes in subspaces ⋮ A difference method for solving the Steklov nonlocal boundary value problem of second kind for the time-fractional diffusion equation ⋮ Stability and convergence of difference schemes approximating a two-parameter nonlocal boundary value problem for time-fractional diffusion equation ⋮ Stability boundaries of difference schemes in subspaces ⋮ Reaction–diffusion equation with nonlocal boundary condition subject to PID-controlled bioreactor ⋮ Application of M-matrices theory to numerical investigation of a nonlinear elliptic equation with an integral condition ⋮ On Fucík type spectrum for problem with integral nonlocal boundary condition ⋮ A new eigenvalue problem for the difference operator with nonlocal conditions ⋮ SEMI-IMPLICIT DIFFERENCE SCHEME FOR A TWO-DIMENSIONAL PARABOLIC EQUATION WITH AN INTEGRAL BOUNDARY CONDITION ⋮ Finite difference method for boundary value problem for nonlinear elliptic equation with nonlocal conditions

Cites Work

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• On the stability and convergence of nonlocal difference schemes
• Alternating direction method for the Poisson equation with variable weight coefficients in an integral condition
• Nonlocal boundary value problems in differential and difference settings
• Difference method of increased order of accuracy for the Poisson equation with nonlocal conditions
• Stability of nonlocal difference schemes in a subspace
• On the spectral properties of three-layer difference schemes for parabolic equations with nonlocal conditions
• On the structure of the spectrum of a differential operator with a nonlocal condition
• Economical difference schemes for the solution of a two-dimensional parabolic problem with an integral condition
• Stability Criterion of Difference Schemes for the Heat Conduction Equation with Nonlocal Boundary Conditions

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