14-point difference operator for the approximation of the first derivatives of a solution of Laplace’s equation in a rectangular parallelepiped

DOI10.2298/FIL1803791DzbMath1499.65609OpenAlexW2883262419MaRDI QIDQ5023449

Hediye Sarikaya, Adiguzel A. Dosiyev

Publication date: 21 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1803791d

zbMATH Keywords

finite difference methoderror estimationsapproximation of the first derivativesLaplace's equation on parallelepiped

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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 (3)

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

• A fourth order accurate approximation of the first and pure second derivatives of the Laplace equation on a rectangle
• On a highly accurate approximation of the first and pure second derivatives of the Laplace equation in a rectangular parallelpiped
• The block-grid method for the approximation of the pure second order derivatives for the solution of Laplace's equation on a staircase polygon
• Grid approximation of the first derivatives of the solution to the Dirichlet problem for the Laplace equation on a polygon
• On differential properties of solutions of the Laplace and Poisson equations on a parallelepiped and efficient error estimates of the method of nets
• 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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