Stability of difference schemes for two-dimensional parabolic equations with non-local boundary conditions
DOI10.1016/j.amc.2009.09.012zbMath1191.65117OpenAlexW2156054658MaRDI QIDQ1044445
T. Meškauskas, Feliksas Ivanauskas, Mifodijus Sapagovas
Publication date: 18 December 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.09.012
Initial-boundary value problems for second-order parabolic equations (35K20) 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 (20)
Cites Work
- Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions
- An explicit solution of a parabolic equation with nonlocal boundary conditions
- The solution of a parabolic differential equation with non-local boundary conditions in the reproducing kernel space
- Finite difference methods for a nonlocal boundary value problem for the heat equation
- Finite difference approximations for a class of nonlocal parabolic equations
- Locally explicit schemes for three-dimensional diffusion with a non-local boundary specification
- Stability of a nonlocal two-dimensional finite-difference problem
- Stability in the numerical solution of the heat equation with nonlocal boundary conditions
- Efficient techniques for the second-order parabolic equation subject to nonlocal specifications
- 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
- 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
- ALTERNATING DIRECTION METHOD FOR A TWO-DIMENSIONAL PARABOLIC EQUATION WITH A NONLOCAL BOUNDARY CONDITION
- Extensions of a property of the heat equation to linear thermoelasticity and other theories
- The solution of the diffusion equation in two space variables subject to the specification of mass
- Global Extrapolations Of Numerical Methods For Solving A Parabolic Problem With Non Local Boundary Conditions
- Stepwise Stability for the Heat Equation with a Nonlocal Constraint
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