A highly accurate difference method for solving the Dirichlet problem of the Laplace equation on a rectangular parallelepiped with boundary values in \(C^{k,1}\)

DOI10.18500/1816-9791-2024-24-2-162-172MaRDI QIDQ6571100

A. A. Dosiev

Publication date: 11 July 2024

Published in: Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika (Search for Journal in Brave)

zbMATH Keywords

finite difference methoderror estimationscubic grids on parallelepiped\(3D\) Laplace equation14-point averaging operator

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Cites Work

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• On differential properties of solutions of the Laplace and Poisson equations on a parallelepiped and efficient error estimates of the method of nets
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• Application of a 14-point averaging operator in the grid method
• 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
• Some improvements in the use of relaxation methods for the solution of ordinary and partial differential equations
• IMPROVEMENTS TO THE ACCURACY OF ARITHMETICAL SOLUTIONS TO CERTAIN TWO-DIMENSIONAL FIELD PROBLEMS

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