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The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-15
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Fractional calculus became a vital tool in describing many phenomena appeared in physics, chemistry as well as engineering fields.
Analytical solution of many applications, where the fractional differential equations appear, cannot be established.
Therefore, cubic polynomial spline-function-based method combined with shooting method is considered to find approximate solution for a class of fractional boundary value problems (FBVPs).
Convergence analysis of the method is considered.
Some illustrative examples are presented.
American Psychological Association (APA)
Zahra, W. K.& Elkholy, S. M.. 2012. The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-487190
Modern Language Association (MLA)
Zahra, W. K.& Elkholy, S. M.. The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-487190
American Medical Association (AMA)
Zahra, W. K.& Elkholy, S. M.. The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-487190
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487190