Linear barycentric rational collocation method for solving biharmonic equation

被引：11
|
作者：
Li, Jin [1 ]
机构：
[1] Shandong Jianzhu Univ, Sch Sci, Jinan 250101, Peoples R China
来源：
DEMONSTRATIO MATHEMATICA | 2022年 / 55卷 / 01期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
linear barycentric rational; collocation method; error functional; biharmonic equation; equidistant nodes; Chebyshev nodes; QUADRATURE METHOD; DERIVATIVES; RATES;
D O I：
10.1515/dema-2022-0151
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Two-dimensional biharmonic boundary-value problems are considered by the linear barycentric rational collocation method, and the unknown function is approximated by the barycentric rational polynomial. With the help of matrix form, the linear equations of the discrete biharmonic equation are changed into a matrix equation. From the convergence rate of barycentric rational polynomial, we present the convergence rate of linear barycentric rational collocation method for biharmonic equation. Finally, several numerical examples are provided to validate the theoretical analysis.
引用
收藏
页码：587 / 603
页数：17
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