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Approximate solutions of general nonlinear boundary value problems using subdivision techniques
Source
The Arabian Journal for Science and Engineering. Section C, Theme issues
Issue
Vol. 22, Issue 2C (31 Dec. 1997), pp.121-135, 15 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
1997-12-31
Country of Publication
Saudi Arabia
No. of Pages
15
Main Subjects
Engineering & Technology Sciences (Multidisciplinary)
Abstract EN
A special class of basis functions generated by uniform subdivision algorithms is used to formulate a high accuracy algorithm for the computation of approximate solutions of general two point boundary value problems of differential equations with or without deviating arguments.
This approach, which is different from the traditional finite difference or finite element method, produces non-polynomial/non-spline type, but continuous and differentiable approximate solutions to the boundary value problems provided the parameters of the algorithm are chosen appropriately.
The main ideas of the method are generation of basis functions, node collocation, and boundary treatments.
Numerical examples of various types of non-linear two-point boundary value problems are included to show the fast convergence and high accuracy of the algorithm.
This paper is a further development of our previous work for solving linear boundary value problems and boundary value problems with deviating arguments.
American Psychological Association (APA)
Qu, Ruibin. 1997. Approximate solutions of general nonlinear boundary value problems using subdivision techniques. The Arabian Journal for Science and Engineering. Section C, Theme issues،Vol. 22, no. 2C, pp.121-135.
https://search.emarefa.net/detail/BIM-390248
Modern Language Association (MLA)
Qu, Ruibin. Approximate solutions of general nonlinear boundary value problems using subdivision techniques. The Arabian Journal for Science and Engineering. Section C, Theme issues Vol. 22, no. 2C (Dec. 1997), pp.121-135.
https://search.emarefa.net/detail/BIM-390248
American Medical Association (AMA)
Qu, Ruibin. Approximate solutions of general nonlinear boundary value problems using subdivision techniques. The Arabian Journal for Science and Engineering. Section C, Theme issues. 1997. Vol. 22, no. 2C, pp.121-135.
https://search.emarefa.net/detail/BIM-390248
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 134-135
Record ID
BIM-390248