The Modified Trapezoidal Rule for Computing Hypersingular Integral on Interval
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-10
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The modified trapezoidal rule for the computation of hypersingular integrals in boundary element methods is discussed.
When the special function of the error functional equals zero, the convergence rate is one order higher than the general case.
A new quadrature rule is presented and the asymptotic expansion of error function is obtained.
Based on the error expansion, not only do we obtain a high order of accuracy, but also a posteriori error estimate is conveniently derived.
Some numerical results are also reported to confirm the theoretical results and show the efficiency of the algorithms.
American Psychological Association (APA)
Li, Jin& Li, Xiuzhen. 2013. The Modified Trapezoidal Rule for Computing Hypersingular Integral on Interval. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-494636
Modern Language Association (MLA)
Li, Jin& Li, Xiuzhen. The Modified Trapezoidal Rule for Computing Hypersingular Integral on Interval. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-494636
American Medical Association (AMA)
Li, Jin& Li, Xiuzhen. The Modified Trapezoidal Rule for Computing Hypersingular Integral on Interval. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-494636
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-494636