On the stability of a finite-difference scheme for nonlocal parabolic boundary-value problems
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Publication:616547
DOI10.1007/s10986-008-9017-5zbMath1206.65219OpenAlexW2085566744MaRDI QIDQ616547
Publication date: 10 January 2011
Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10986-008-9017-5
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)
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Cites Work
- Unnamed Item
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- Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions
- Finite difference methods for a nonlocal boundary value problem for the heat equation
- Stability of a nonlocal two-dimensional finite-difference problem
- Stability in the numerical solution of the heat equation with nonlocal boundary conditions
- On the stability of a nonlocal finite-difference boundary value problem
- Numerical solution of the heat equation with nonlocal boundary conditions
- The eigenvalues of some problems with a nonlocal condition
- A monotonic finite-difference scheme for a parabolic problem with nonlocal conditions
- The Sturm-Liouville problem with a nonlocal boundary condition
- Study of the norm in stability problems for nonlocal difference schemes
- On the structure of the spectrum of a differential operator with a nonlocal condition
- Stability theory of difference schemes and iterative methods
- Stepwise Stability for the Heat Equation with a Nonlocal Constraint
- Stability Criterion of Difference Schemes for the Heat Conduction Equation with Nonlocal Boundary Conditions
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