On Stability Analysis of Finite-Difference Schemes for Some Parabolic Problems with Nonlocal Boundary Conditions

DOI10.1080/01630563.2014.908208zbMath1325.65129OpenAlexW1967480318MaRDI QIDQ2929503

Aleksas Mirinavičius, Raimondas Čiegis, Gerda Jankevičiūtė, Teresė Leonavičienė

Publication date: 12 November 2014

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

Full work available at URL: https://doi.org/10.1080/01630563.2014.908208

zbMATH Keywords

stabilityconvergencefinite difference methodnonlocal boundary conditionsnumerical experimentparabolic problempseudo-parabolic problem

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) Second-order parabolic equations (35K10)

Related Items (1)

ERROR ANALYSIS OF LEGENDRE-GALERKIN SPECTRAL METHOD FOR A PARABOLIC EQUATION WITH DIRICHLET-TYPE NON-LOCAL BOUNDARY CONDITIONS

Cites Work

• Stability criterion for a family of nonlocal difference schemes
• On some finite difference schemes for solution of hyperbolic heat conduction problems
• Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions
• Solving nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space
• Nonlocal boundary problems for a third-order one-dimensional nonlinear pseudoparabolic equation
• A note on efficient techniques for the second-order parabolic equation subject to non-local conditions
• Finite difference methods for a nonlocal boundary value problem for the heat equation
• On the solvability of parabolic and hyperbolic problems with a boundary integral condition
• Efficient techniques for the second-order parabolic equation subject to nonlocal specifications
• A numerical procedure for diffusion subject to the specification of mass
• A monotonic finite-difference scheme for a parabolic problem with nonlocal conditions
• Equivalent formulations and numerical schemes for a class of pseudo-parabolic equations
• On the numerical solution of the heat conduction equations subject to nonlocal conditions
• METHOD OF LINES AND FINITE DIFFERENCE SCHEMES WITH THE EXACT SPECTRUM FOR SOLUTION THE HYPERBOLIC HEAT CONDUCTION EQUATION
• Numerical Solution of Parabolic Problems with Nonlocal Boundary Conditions
• The Stability of Finite-Difference Schemes for a Pseudoparabolic Equation with Nonlocal Conditions
• NUMERICAL SOLUTION OF HYPERBOLIC HEAT CONDUCTION EQUATION
• High Order Difference Methods for Time Dependent PDE

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