On the solution of a nonlocal problem

DOI10.1016/j.camwa.2013.05.010zbMath1347.35093OpenAlexW2023539316MaRDI QIDQ305530

F. Blanchet-Sadri, M. Dambrine

Publication date: 30 August 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.05.010

zbMATH Keywords

difference schemeelliptic equationnonlocal boundary value problemsBitsadze-Samarskii problem

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (13)

Numerical approximations of second order PDEs by boundary value methods and the method of lines ⋮ Radial basis function method for a multidimensional linear elliptic equation with nonlocal boundary conditions ⋮ A family of boundary value methods for systems of second-order boundary value problems ⋮ On the numerical solution of a multilevel nonlocal problem ⋮ A fourth-order accurate difference Dirichlet problem for the approximate solution of Laplace's equation with integral boundary condition ⋮ Unnamed Item ⋮ Difference method of fourth order accuracy for the Laplace equation with multilevel nonlocal conditions ⋮ ALTERNATING DIRECTION IMPLICIT METHOD FOR POISSON EQUATION WITH INTEGRAL CONDITIONS ⋮ Error estimate of a high accuracy difference scheme for Poisson equation with two integral boundary conditions ⋮ On a difference scheme of second order of accuracy for the Bitsadze-Samarskii type nonlocal boundary-value problem ⋮ Application of M-matrices theory to numerical investigation of a nonlinear elliptic equation with an integral condition ⋮ On the numerical solution for nonlinear elliptic equations with variable weight coefficients in an integral boundary conditions ⋮ Finite difference method for boundary value problem for nonlinear elliptic equation with nonlocal conditions

Cites Work

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• On the convergence rate of the finite-difference solution of a nonlocal boundary value problem for a second-order elliptic equation
• FDM for elliptic equations with Bitsadze-Samarskii-Dirichlet conditions
• On Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: well-posedness
• Fast methods of solving Poisson's equation
• Elliptic functional differential equations and applications

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