Difference method of increased order of accuracy for the Poisson equation with nonlocal conditions
From MaRDI portal
Publication:731579
DOI10.1134/S0012266108070148zbMath1180.65138WikidataQ115252873 ScholiaQ115252873MaRDI QIDQ731579
Publication date: 8 October 2009
Published in: Differential Equations (Search for Journal in Brave)
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 (27)
On the solution of a nonlocal problem ⋮ Radial basis function method for a multidimensional linear elliptic equation with nonlocal boundary conditions ⋮ On the numerical solution of a multilevel nonlocal problem ⋮ The Existence of a Generalized Solution of an m-Point Nonlocal Boundary Value Problem ⋮ Efficient spectral-Galerkin method and analysis for elliptic PDEs with non-local boundary conditions ⋮ On the stability of a difference scheme for a two-dimensional parabolic equation with an integral condition ⋮ A fourth-order accurate difference Dirichlet problem for the approximate solution of Laplace's equation with integral boundary condition ⋮ Locally one-dimensional difference scheme for a pseudoparabolic equation with nonlocal conditions ⋮ On a numerical solution of one nonlocal boundary-value problem with mixed Dirichlet-Neumann conditions ⋮ On a nonlocal problem with integral boundary conditions for a multidimensional elliptic equation ⋮ Difference method of fourth order accuracy for the Laplace equation with multilevel nonlocal conditions ⋮ ALTERNATING DIRECTION IMPLICIT METHOD FOR POISSON EQUATION WITH INTEGRAL CONDITIONS ⋮ On the spectral stability in subspaces for difference schemes with nonlocal boundary conditions ⋮ Nonclassical problem with integral boundary conditions for elliptic system ⋮ The numerical solution of the Bitsadze-Samarskii nonlocal boundary value problems with the Dirichlet-Neumann condition ⋮ Error estimate of a high accuracy difference scheme for Poisson equation with two integral boundary conditions ⋮ Alternating direction method for the Poisson equation with variable weight coefficients in an integral condition ⋮ Optimization, conditioning and accuracy of radial basis function method for partial differential equations with nonlocal boundary conditions -- a case of two-dimensional Poisson equation ⋮ On Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: well-posedness ⋮ On a difference scheme of second order of accuracy for the Bitsadze-Samarskii type nonlocal boundary-value problem ⋮ On a difference scheme of fourth order of accuracy for the Bitsadze–Samarskii type nonlocal boundary value problem ⋮ Approximate solution of inverse problem for elliptic equation with overdetermination ⋮ Application of M-matrices theory to numerical investigation of a nonlinear elliptic equation with an integral condition ⋮ A fourth-order alternating-direction method for difference schemes with nonlocal condition ⋮ On a family of nonlocal difference schemes ⋮ Stability criteria for non-self-adjoint finite differences schemes in the subspace ⋮ Finite difference method for boundary value problem for nonlinear elliptic equation with nonlocal conditions
Cites Work
- Unnamed Item
- Unnamed Item
- The Sturm-Liouville problem with a nonlocal boundary condition
- A High-Order Difference Scheme for a Nonlocal Boundary-Value Problem for the Heat Equation
- Extensions of a property of the heat equation to linear thermoelasticity and other theories
- Stability Criterion of Difference Schemes for the Heat Conduction Equation with Nonlocal Boundary Conditions
This page was built for publication: Difference method of increased order of accuracy for the Poisson equation with nonlocal conditions
