A fourth order accurate approximation of the first and pure second derivatives of the Laplace equation on a rectangle-Reference-Cited by-同舟云学术

A fourth order accurate approximation of the first and pure second derivatives of the Laplace equation on a rectangle

Published:2015-02-28 Issue:1 Volume:2015 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Dosiyev Adiguzel A,Sadeghi Hamid MM

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13662-015-0408-8.pdf

Reference13 articles.

1. Lebedev VI: Evaluation of the error involved in the grid method for Newmann’s two dimensional problem. Sov. Math. Dokl. 1960, 1: 703-705.

2. Volkov EA:On convergence in c 2 of a difference solution of the Laplace equation on a rectangle. Russ. J. Numer. Anal. Math. Model. 1999, 14(3):291-298. 10.1515/rnam.1999.14.3.291

3. Volkov EA: On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on the rectangular parallelpiped. Russ. J. Numer. Anal. Math. Model. 2004, 19(3):269-278. 10.1515/1569398041126500

4. Volkov EA: Differentiability properties of solutions of boundary value problems for the Laplace and Poisson equations on a rectangle. Proc. Steklov Inst. Math. 1965, 77: 101-126.

5. Volkov EA: On differential properties of solutions of the Laplace and Poisson equations on a parallelepiped and efficient error estimates of the method of nets. Proc. Steklov Inst. Math. 1969, 105: 54-78.

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An approximate grid solution of the first derivative of Laplace’s equation nonlocal boundary value problem with integral boundary condition;NOVEL TRENDS IN RHEOLOGY IX;2023

2. Hexagonal Grid Computation of the Derivatives of the Solution to the Heat Equation by Using Fourth-Order Accurate Two-Stage Implicit Methods;Fractal and Fractional;2021-11-07

3. A Highly Accurate Difference Method for Approximating the Solution and Its First Derivatives of the Dirichlet Problem for Laplace’s Equation on a Rectangle;Mediterranean Journal of Mathematics;2021-10-23

4. An approximate solution of first derivatives of the mixed boundary value problem for Laplace’s equation on a rectangle;AIP Conference Proceedings;2021

5. On the difference method for approximation of second order derivatives of a solution of Laplace’s equation in a rectangular parallelepiped;Filomat;2019