A two-stage difference method for solving the Dirichlet problem for the Laplace equation on a rectangular parallelepiped
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Publication:2995670
DOI10.1134/S0965542509030117zbMath1224.35076OpenAlexW2002911919MaRDI QIDQ2995670
Publication date: 4 May 2011
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542509030117
Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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On increasing the convergence rate of difference solution to the third boundary value problem of elasticity theory ⋮ Method of corrections by higher order differences for elliptic equations with variable coefficients ⋮ A highly accurate difference method for solving the Dirichlet problem for Laplace’s equation on a rectangle ⋮ Method of corrections by higher order differences for Poisson equation with nonlocal boundary conditions ⋮ A highly accurate difference method for approximating the solution and its first derivatives of the Dirichlet problem for Laplace's equation on a rectangle ⋮ Compatible convergence estimates in the method of refinement by higher-order differences
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