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

DOI10.1007/s00009-021-01900-8zbMath1481.65127OpenAlexW3211215277MaRDI QIDQ2243961

Hediye Sarikaya, Adiguzel A. Dosiyev

Publication date: 11 November 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01900-8

zbMATH Keywords

finite difference methoderror estimationsapproximation of the derivativeshighly accurate methodsnumerical solution to the Laplace equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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