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

DOI10.1007/s10559-018-0014-3zbMath1448.65194OpenAlexW2790296397MaRDI QIDQ1745707

N. V. Maiko

Publication date: 18 April 2018

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

Full work available at URL: https://doi.org/10.1007/s10559-018-0014-3

zbMATH Keywords

boundary effectPoisson's equationDirichlet boundary conditionboundary value problemfinite-difference schemeweighted error estimate

Mathematics Subject Classification ID

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

Related Items (3)

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 ⋮ Super-exponential rate of convergence of the Cayley transform method for an abstract differential equation ⋮ Weighted Estimates of the Cayley Transform Method for Boundary Value Problems in a Banach Space

Cites Work

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• Boundary effect in the error estimate of the finite-difference scheme for two-dimensional Poisson's equation
• Error estimates of the finite-difference scheme for a one-dimensional parabolic equation with allowance for the effect of initial and boundary conditions
• Improved accuracy estimates of the difference scheme for the two-dimensional parabolic equation with regard for the effect of initial and boundary conditions
• Weight Uniform Accuracy Estimates of Finite Difference Method for Poisson Equation, Taking into Account Boundary Effect

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