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Local Polynomial Regression Solution for Differential Equations with Initial and Boundary Values
Joint Authors
Yan, Tianshun
Zhao, Yanyong
Su, Liyun
Li, Fenglan
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-20
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Numerical solutions of the linear differential boundary issues are obtained by using a local polynomial estimator method with kernel smoothing.
To achieve this, a combination of a local polynomial-based method and its differential form has been used.
The computed results with the use of this technique have been compared with the exact solution and other existing methods to show the required accuracy of it.
The effectiveness of this method is verified by three illustrative examples.
The presented method is seen to be a very reliable alternative method to some existing techniques for such realistic problems.
Numerical results show that the solution of this method is more accurate than that of other methods.
American Psychological Association (APA)
Su, Liyun& Yan, Tianshun& Zhao, Yanyong& Li, Fenglan. 2013. Local Polynomial Regression Solution for Differential Equations with Initial and Boundary Values. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1009744
Modern Language Association (MLA)
Su, Liyun…[et al.]. Local Polynomial Regression Solution for Differential Equations with Initial and Boundary Values. Mathematical Problems in Engineering No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-1009744
American Medical Association (AMA)
Su, Liyun& Yan, Tianshun& Zhao, Yanyong& Li, Fenglan. Local Polynomial Regression Solution for Differential Equations with Initial and Boundary Values. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1009744
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009744