On a family of nonlocal difference schemes

DOI10.1134/S001226610907009XzbMath1179.65110OpenAlexW1992428585MaRDI QIDQ1033668

V. A. Morozova, A. V. Gulin

Publication date: 6 November 2009

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

Full work available at URL: https://doi.org/10.1134/s001226610907009x

zbMATH Keywords

stabilityheat equationweighted finite difference method

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 (7)

Stability criterion for a family of nonlocal difference schemes ⋮ 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 ⋮ Stability and convergence of difference schemes approximating a two-parameter nonlocal boundary value problem for time-fractional diffusion equation ⋮ A compact difference scheme for multi-point boundary value problems of heat equations ⋮ Stability and convergence of difference schemes approximating a nonlocal Steklov boundary value problem of the second class ⋮ A Higher Order Difference Scheme for the Time Fractional Diffusion Equation with the Steklov Nonlocal Boundary Value Problem of the Second Kind

Cites Work

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• Difference scheme for the Samarskii-Ionkin problem with a parameter
• Difference method of increased order of accuracy for the Poisson equation with nonlocal conditions
• A nonlocal finite-difference operator with a complex parameter in the boundary condition
• Difference Schemes with Nonlocal Boundary Conditions
• Stability of the Two-parameter Set of Nonlocal Difference Schemes
• Symmetrizable Difference Dchemes
• Stability Criterion of Difference Schemes for the Heat Conduction Equation with Nonlocal Boundary Conditions

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