A Numerical Method for Solving Fractional Differential Equations by Using Neural Network
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We present a new method for solving the fractional differential equationsof initial value problems by using neural networks which are constructed fromcosine basis functions with adjustable parameters.
By training the neural networksrepeatedly the numerical solutions for the fractional differential equations wereobtained.
Moreover, the technique is still applicable for the coupled differential equationsof fractional order.
The computer graphics and numerical solutions showthat the proposed method is very effective.
American Psychological Association (APA)
Qu, Haidong& Liu, Xuan. 2015. A Numerical Method for Solving Fractional Differential Equations by Using Neural Network. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1052972
Modern Language Association (MLA)
Qu, Haidong& Liu, Xuan. A Numerical Method for Solving Fractional Differential Equations by Using Neural Network. Advances in Mathematical Physics No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1052972
American Medical Association (AMA)
Qu, Haidong& Liu, Xuan. A Numerical Method for Solving Fractional Differential Equations by Using Neural Network. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1052972
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052972