The Stability of Finite-Difference Schemes for a Pseudoparabolic Equation with Nonlocal Conditions

DOI10.1080/01630560903405412zbMath1189.65208OpenAlexW2097245769MaRDI QIDQ3405618

Justina Jachimavičienė, Ž. Jesevičiūtė, Mifodijus Sapagovas

Publication date: 10 February 2010

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560903405412

zbMATH Keywords

stabilityeigenvalue problemfinite differencespseudoparabolic equationintegral condition

Mathematics Subject Classification ID

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) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (14)

On stability in the maximum norm of difference scheme for nonlinear parabolic equation with nonlocal condition ⋮ NUMERICAL EXPLORATION OF A FORWARD–BACKWARD DIFFUSION EQUATION ⋮ On Stability Analysis of Finite-Difference Schemes for Some Parabolic Problems with Nonlocal Boundary Conditions ⋮ On the stability of a difference scheme for a two-dimensional parabolic equation with an integral condition ⋮ Locally one-dimensional difference scheme for a pseudoparabolic equation with nonlocal conditions ⋮ ON THE SPECTRUM STRUCTURE FOR ONE DIFFERENCE EIGENVALUE PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS ⋮ On the spectral properties of three-layer difference schemes for parabolic equations with nonlocal conditions ⋮ Spectrum curves for a discrete Sturm–Liouville problem with one integral boundary condition ⋮ Unnamed Item ⋮ Influence of complex coefficients on the stability of difference scheme for parabolic equations with non-local conditions ⋮ 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 ⋮ M-MATRICES AND CONVERGENCE OF FINITE DIFFERENCE SCHEME FOR PARABOLIC EQUATION WITH INTEGRAL BOUNDARY CONDITION ⋮ Rothe–Legendre pseudospectral method for a semilinear pseudoparabolic equation with nonclassical boundary condition

Cites Work

• On the stability of a finite-difference scheme for nonlocal parabolic boundary-value problems
• A nonlinear nonlocal mixed problem for a second order pseudoparabolic equation
• Nonlocal boundary problems for a third-order one-dimensional nonlinear pseudoparabolic equation
• Solvability of nonlinear pseudoparabolic equation with a nonlocal boundary condition.
• The eigenvalues of some problems with a nonlocal condition
• The Sturm-Liouville problem with a nonlocal boundary condition
• On the structure of the spectrum of a differential operator with a nonlocal condition
• Stability theory of difference schemes and iterative methods
• On a variational approximation method for 2nd order eigenvalue problems in a multi-component domain with nonlocal dlrichlet transition conditions
• EIGENVALUES OF SOME NON-LOCAL BOUNDARY-VALUE PROBLEMS
• Stepwise Stability for the Heat Equation with a Nonlocal Constraint

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