On a highly accurate approximation of the first and pure second derivatives of the Laplace equation in a rectangular parallelpiped

DOI10.1186/s13662-016-0868-5zbMath1422.65308OpenAlexW2419472503WikidataQ59463499 ScholiaQ59463499MaRDI QIDQ1725526

Hamid Mir-Mohammad Sadeghi, Adiguzel A. Dosiyev

Publication date: 14 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0868-5

zbMATH Keywords

finite difference methodLaplace equationapproximation of derivativesuniform error

Mathematics Subject Classification ID

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

On the difference method for approximation of second order derivatives of a solution of Laplace’s equation in a rectangular parallelepiped ⋮ 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 ⋮ 14-point difference operator for the approximation of the first derivatives of a solution of Laplace’s equation in a rectangular parallelepiped ⋮ On the high order convergence of the difference solution of Laplace’s equation in a rectangular parallelepiped

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