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

Abstract and Applied Analysis

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

Mathematics

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