A Modified Generalized Laguerre-Gauss Collocation Method for Fractional Neutral Functional-Differential Equations on the Half-Line
Joint Authors
Bhrawy, Ali H.
Baleanu, Dumitru
Alhamed, Yahia
Alzahrany, Abdulrahim
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-09
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The modified generalized Laguerre-Gauss collocation (MGLC) method is applied to obtain an approximate solution of fractional neutral functional-differential equations with proportional delays on the half-line.
The proposed technique is based on modified generalized Laguerre polynomials and Gauss quadrature integration of such polynomials.
The main advantage of the present method is to reduce the solution of fractional neutral functional-differential equations into a system of algebraic equations.
Reasonable numerical results are achieved by choosing few modified generalized Laguerre-Gauss collocation points.
Numerical results demonstrate the accuracy, efficiency, and versatility of the proposed method on the half-line.
American Psychological Association (APA)
Bhrawy, Ali H.& Alzahrany, Abdulrahim& Baleanu, Dumitru& Alhamed, Yahia. 2014. A Modified Generalized Laguerre-Gauss Collocation Method for Fractional Neutral Functional-Differential Equations on the Half-Line. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1033940
Modern Language Association (MLA)
Bhrawy, Ali H.…[et al.]. A Modified Generalized Laguerre-Gauss Collocation Method for Fractional Neutral Functional-Differential Equations on the Half-Line. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1033940
American Medical Association (AMA)
Bhrawy, Ali H.& Alzahrany, Abdulrahim& Baleanu, Dumitru& Alhamed, Yahia. A Modified Generalized Laguerre-Gauss Collocation Method for Fractional Neutral Functional-Differential Equations on the Half-Line. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1033940
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033940