Boundary effect in the error estimate of the finite-difference scheme for two-dimensional Poisson's equation

DOI10.1007/S10559-016-9877-3zbMath1353.65114OpenAlexW2521814906MaRDI QIDQ341374

V. L. Ryabichev, N. V. Maiko

Publication date: 16 November 2016

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-016-9877-3

zbMATH Keywords

convergenceboundary effectfinite difference schemePoisson's equationboundary-value problemweighted error estimate

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (6)

The finite-difference scheme of higher order of accuracy for the two-dimensional Poisson equation in a rectangle with regard for the effect of the Dirichlet boundary condition ⋮ Improved accuracy estimates of the difference scheme for the two-dimensional parabolic equation with regard for the effect of initial and boundary conditions ⋮ Super-exponential rate of convergence of the Cayley transform method for an abstract differential equation ⋮ A weighted error estimate for a finite-difference scheme of increased approximation order for a two-dimensional Poisson equation with allowance for the Dirichlet boundary condition ⋮ Weighted estimates of the Cayley transform method for abstract differential equations ⋮ Weighted Estimates of the Cayley Transform Method for Boundary Value Problems in a Banach Space

Cites Work

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• Error estimates of the finite-difference scheme for a one-dimensional parabolic equation with allowance for the effect of initial and boundary conditions
• Numerical Analysis and Its Applications

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