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Linear barycentric rational collocation method for solving generalized Poisson equations.
Li, Jin; Cheng, Yongling; Li, Zongcheng; Tian, Zhikang.
Affiliation
  • Li J; School of Science, Shandong Jianzhu University, No. 1000 Fengming Road, Lingang Development Zone, Jinan 250101, Shandong, China.
  • Cheng Y; School of Science, Shandong Jianzhu University, No. 1000 Fengming Road, Lingang Development Zone, Jinan 250101, Shandong, China.
  • Li Z; School of Science, Shandong Jianzhu University, No. 1000 Fengming Road, Lingang Development Zone, Jinan 250101, Shandong, China.
  • Tian Z; Lab Master at School of Computer Science and Technology, Shandong Jianzhu University, No. 1000 Fengming Road, Lingang Development Zone, Jinan 250101, Shandong, China.
Math Biosci Eng ; 20(3): 4782-4797, 2023 Jan 03.
Article in En | MEDLINE | ID: mdl-36896522
ABSTRACT
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.
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Full text: 1 Collection: 01-internacional Database: MEDLINE Language: En Journal: Math Biosci Eng Year: 2023 Document type: Article
Fulltext
Print
XML
PubMed Links
Search on Google

Full text: 1 Collection: 01-internacional Database: MEDLINE Language: En Journal: Math Biosci Eng Year: 2023 Document type: Article