Linear barycentric rational collocation method for solving generalized Poisson equations-Reference-Cited by-同舟云学术

Linear barycentric rational collocation method for solving generalized Poisson equations

Published:2023 Issue:3 Volume:20 Page:4782-4797
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Li Jin¹,Cheng Yongling¹,Li Zongcheng¹,Tian Zhikang²

Affiliation:

1. School of Science, Shandong Jianzhu University, No. 1000 Fengming Road, Lingang Development Zone, Jinan 250101, Shandong, China

2. Lab Master at School of Computer Science and Technology, Shandong Jianzhu University, No. 1000 Fengming Road, Lingang Development Zone, Jinan 250101, Shandong, China

Abstract

<abstract><p>We consider the Poisson equation by collocation method with linear barycentric rational function. The discrete form of the Poisson equation was changed to matrix form. For the basis of barycentric rational function, we present the convergence rate of the linear barycentric rational collocation method for the Poisson equation. Domain decomposition method of the barycentric rational collocation method (BRCM) is also presented. Several numerical examples are provided to validate the algorithm.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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