On the high order convergence of the difference solution of Laplace’s equation in a rectangular parallelepiped

DOI10.2298/FIL1803893DzbMath1499.65608OpenAlexW2883297374MaRDI QIDQ5023465

Adiguzel A. Dosiyev, Ahlam Abdussalam

Publication date: 21 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1803893d

zbMATH Keywords

finite difference methoderror estimationsapproximation of the derivatives3D Laplace's equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) 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

Implicit methods for the first derivative of the solution to heat equation, A highly accurate difference method for approximating the solution and its first derivatives of the Dirichlet problem for Laplace's equation on a rectangle, Six Point Implicit Methods for the Approximation of the Derivatives of the Solution of First Type Boundary Value Problem for Heat Equation

Cites Work

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• A highly accurate homogeneous scheme for solving the laplace equation on a rectangular parallelepiped with boundary values in C k, 1
• Application of a 14-point averaging operator in the grid method
• On convergence in C2 of a difference solution of the Laplace equation on a rectangle
• The High Accurate Block-Grid Method for Solving Laplace's Boundary Value Problem with Singularities
• On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped
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