Linear barycentric rational collocation method for solving biharmonic equation-Reference-Cited by-同舟云学术

Linear barycentric rational collocation method for solving biharmonic equation

Published:2022-01-01 Issue:1 Volume:55 Page:587-603
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Li Jin¹

Affiliation:

1. School of Science, Shandong Jianzhu University , Jinan 250101 , P. R. China

Abstract

AbstractTwo-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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0151/pdf

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