Numerical solution for multi-term fractional orders differential equations by spline functions
Author
al-Marashi, Adil Abd al-Khaliq
Source
Thamar University Journal for Studies and Researches
Issue
Vol. 2008, Issue 9 (30 Sep. 2008)18 p.
Publisher
Publication Date
2008-09-30
Country of Publication
Yemen
No. of Pages
18
Main Subjects
Abstract EN
In this work a new method for the numerical solution of initial value problem for multi-term fractional orders differential equations with constant coefficients is presented .Fractional derivatives defined in the Riemann-Liouvill sense are considered.
This method essentially uses fee definitions and properties of different order of splines polynomials.
Moreovere a new formula for the Fractional derivatives of these splines functions are given.
Numerical examples are presented.
Special attention is given to the comparison of the numerical results obtained by the new method with those found by other methods.
American Psychological Association (APA)
al-Marashi, Adil Abd al-Khaliq. 2008. Numerical solution for multi-term fractional orders differential equations by spline functions. Thamar University Journal for Studies and Researches،Vol. 2008, no. 9.
https://search.emarefa.net/detail/BIM-275418
Modern Language Association (MLA)
al-Marashi, Adil Abd al-Khaliq. Numerical solution for multi-term fractional orders differential equations by spline functions. Thamar University Journal for Studies and Researches No. 9 (Sep. 2008).
https://search.emarefa.net/detail/BIM-275418
American Medical Association (AMA)
al-Marashi, Adil Abd al-Khaliq. Numerical solution for multi-term fractional orders differential equations by spline functions. Thamar University Journal for Studies and Researches. 2008. Vol. 2008, no. 9.
https://search.emarefa.net/detail/BIM-275418
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references.
Record ID
BIM-275418