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Solution of Boundary Value Problems by Approaching Spline Techniques
Joint Authors
Kalyani, P.
Rama Chandra Rao, P. S.
Source
International Journal of Engineering Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-30
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Engineering Sciences and Information Technology
Civil Engineering
Abstract EN
In the present work a nonpolynomial spline function is used to approximate the solution of the second order two point boundary value problems.
The classes of numerical methods of second order, for a specific choice of parameters involved in nonpolynomial spline, have been developed.
Numerical examples are presented to illustrate the applications of this method.
The solutions (u(x)) of these examples are found at the nodal points with various step sizes and with various parameters (α, β).
The absolute errors in each example are estimated, and the comparison of approximate values, exact values, and absolute errors of u(x) at the nodal points are shown graphically.
Further, shown that nonpolynomial spline produces accurate results in comparison with the results obtained by the B-spline method and finite difference method.
American Psychological Association (APA)
Kalyani, P.& Rama Chandra Rao, P. S.. 2013. Solution of Boundary Value Problems by Approaching Spline Techniques. International Journal of Engineering Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-475063
Modern Language Association (MLA)
Kalyani, P.& Rama Chandra Rao, P. S.. Solution of Boundary Value Problems by Approaching Spline Techniques. International Journal of Engineering Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-475063
American Medical Association (AMA)
Kalyani, P.& Rama Chandra Rao, P. S.. Solution of Boundary Value Problems by Approaching Spline Techniques. International Journal of Engineering Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-475063
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475063