Method of corrections by higher order differences for Poisson equation with nonlocal boundary conditions

DOI10.1016/J.TRMI.2016.04.002zbMath1351.65080OpenAlexW2403396809MaRDI QIDQ325118

Bidzina Midodashvili, Givi Berikelashvili

Publication date: 17 October 2016

Published in: Transactions of A. Razmadze Mathematical Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.trmi.2016.04.002

zbMATH Keywords

difference schemePoisson equationimprovement of accuracymethod of correctionscompatible estimates of convergence rateBitsadze-Samarskii type nonlocal boundary value problem

Mathematics Subject Classification ID

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)

Cites Work

• Compatible convergence estimates in the method of refinement by higher-order differences
• Bounds for a class of linear functionals with applications to Hermite interpolation
• Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
• A two-stage difference method for solving the Dirichlet problem for the Laplace equation on a rectangular parallelepiped
• Polynomial Approximation of Functions in Sobolev Spaces
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