Bernstein-Polynomials-Based Highly Accurate Methods for One-Dimensional Interface Problems
Joint Authors
Liu, Jiankang
Zheng, Zhoushun
Xu, Qinwu
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-08
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
A new numerical method based on Bernstein polynomials expansion is proposed for solving one-dimensional elliptic interface problems.
Both Galerkin formulation and collocation formulation are constructed to determine the expansion coefficients.
In Galerkin formulation, the flux jump condition can be imposed by the weak formulation naturally.
In collocation formulation, the results obtained by B-polynomials expansion are compared with that obtained by Lagrange basis expansion.
Numerical experiments show that B-polynomials expansion is superior to Lagrange expansion in both condition number and accuracy.
Both methods can yield high accuracy even with small value of N.
American Psychological Association (APA)
Liu, Jiankang& Zheng, Zhoushun& Xu, Qinwu. 2012. Bernstein-Polynomials-Based Highly Accurate Methods for One-Dimensional Interface Problems. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-993774
Modern Language Association (MLA)
Liu, Jiankang…[et al.]. Bernstein-Polynomials-Based Highly Accurate Methods for One-Dimensional Interface Problems. Journal of Applied Mathematics No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-993774
American Medical Association (AMA)
Liu, Jiankang& Zheng, Zhoushun& Xu, Qinwu. Bernstein-Polynomials-Based Highly Accurate Methods for One-Dimensional Interface Problems. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-993774
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993774