Approximate grid solution of a nonlocal boundary value problem for Laplace’s equation on a rectangle

DOI10.1134/S0965542513080149zbMath1299.35096OpenAlexW2070982160MaRDI QIDQ5413191

Evgeny Volkov

Publication date: 28 April 2014

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542513080149

zbMATH Keywords

finite difference methodnonlocal boundary value problemLaplace equation on a rectangle

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

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 ⋮ Difference method of fourth order accuracy for the Laplace equation with multilevel nonlocal conditions ⋮ Solvability analysis of a nonlocal boundary value problem by applying the contraction mapping principle

Cites Work

• An asymptotically fast approximate method for the determination of a solution of the difference Laplace equation on network segments
• On the regular composite difference method for Laplace's equation on polygons
• Differentiability properties of solutions of boundary value problem for the Laplace and Poisson equations on a rectangle
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