On the convergence of difference schemes for one nonlocal boundary-value problem

DOI10.1007/S10986-012-9178-0zbMath1263.35069OpenAlexW2052146218MaRDI QIDQ1936265

Givi Berikelashvili, Nodar Khomeriki

Publication date: 21 February 2013

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-012-9178-0

zbMATH Keywords

Poisson equationfinite-difference schemenonlocal integral conditions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

Radial basis function method for a multidimensional linear elliptic equation with nonlocal boundary conditions ⋮ A fourth-order accurate difference Dirichlet problem for the approximate solution of Laplace's equation with integral boundary condition ⋮ On a numerical solution of one nonlocal boundary-value problem with mixed Dirichlet-Neumann conditions ⋮ Analytical solution for a non-self-adjoint and non-local-boundary value problem including a partial differential equation with a complex constant coefficient ⋮ Fully discrete Tau solution for some types of non-local heat transport equations ⋮ Solving parabolic integro-differential equations with purely nonlocal conditions by using the operational matrices of Bernstein polynomials

Cites Work

• Alternating direction method for the Poisson equation with variable weight coefficients in an integral condition
• On a nonlocal generalization of the biharmonic Dirichlet problem
• A fourth-order alternating-direction method for difference schemes with nonlocal condition
• Difference scheme for two-dimensional elliptic problems with an integral condition
• To a nonlocal generalization of the Dirichlet problem
• Bounds for a class of linear functionals with applications to Hermite interpolation
• Polynomial Approximation of Functions in Sobolev Spaces
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