A Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functions
Joint Authors
Bhrawy, Ali H.
Baleanu, Dumitru
Doha, E. H.
Hafez, R. M.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-19
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A new Legendre rational pseudospectral scheme is proposed and developed for solving numerically systems of linear and nonlinear multipantograph equations on a semi-infinite interval.
A Legendre rational collocation method based on Legendre rational-Gauss quadrature points is utilized to reduce the solution of such systems to systems of linear and nonlinear algebraic equations.
In addition, accurate approximations are achieved by selecting few Legendre rational-Gauss collocation points.
The numerical results obtained by this method have been compared with various exact solutions in order to demonstrate the accuracy and efficiency of the proposed method.
Indeed, for relatively limited nodes used, the absolute error in our numerical solutions is sufficiently small.
American Psychological Association (APA)
Doha, E. H.& Baleanu, Dumitru& Bhrawy, Ali H.& Hafez, R. M.. 2014. A Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functions. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014843
Modern Language Association (MLA)
Doha, E. H.…[et al.]. A Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functions. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1014843
American Medical Association (AMA)
Doha, E. H.& Baleanu, Dumitru& Bhrawy, Ali H.& Hafez, R. M.. A Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functions. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014843
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014843