Error estimate of a high accuracy difference scheme for Poisson equation with two integral boundary conditions

被引：6

作者：

Zhou, Liping ^{[1
,2
]}

Yu, Haiyuan ^{[1
]}

机构：

[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan, Peoples R China

[2] Hunan Univ Sci & Engn, Coll Sci, Inst Computat Math, Yongzhou, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

关键词：

Poisson equation; Integral boundary condition; Finite difference scheme; Discrete Fourier transformation; Asymptotic optimal error estimate; 4TH-ORDER ELLIPTIC-EQUATIONS; NONLOCAL BOUNDARY; ORDER;

D O I：

10.1186/s13662-018-1682-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Partial differential equations with nonlocal boundary conditions have been widely applied in various fields of science and engineering. In this work, we first build a high accuracy difference scheme for Poisson equation with two integral boundary conditions. Then, we prove that the scheme can reach the asymptotic optimal error estimate in the maximum norm through applying the discrete Fourier transformation. In the end, numerical experiments validate the correctness of theoretical results and show the stability of the scheme.

引用

页数：11

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