A highly accurate difference method for solving the Dirichlet problem for Laplace’s equation on a rectangle

DOI10.1063/1.5000622zbMath1491.65115OpenAlexW2754701367MaRDI QIDQ5062189

Hediye Sarikaya, Adiguzel A. Dosiyev

Publication date: 15 March 2022

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5000622

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

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A highly accurate difference method for approximating the solution and its first derivatives of the Dirichlet problem for Laplace's equation on a rectangle

Cites Work

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• A two-stage difference method for solving the Dirichlet problem for the Laplace equation on a rectangular parallelepiped
• Convergence Estimates for Essentially Positive Type Discrete Dirichlet Problems