Numerical Solution of a Class of Functional-Differential Equations Using Jacobi Pseudospectral Method
Joint Authors
Bhrawy, Ali H.
Baleanu, Dumitru
Alghamdi, Mohammad Ali
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-21
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The shifted Jacobi-Gauss-Lobatto pseudospectral (SJGLP) method is applied to neutral functional-differential equations (NFDEs) with proportional delays.
The proposed approximation is based on shifted Jacobi collocation approximation with the nodes of Gauss-Lobatto quadrature.
The shifted Legendre-Gauss-Lobatto Pseudo-spectral and Chebyshev-Gauss-Lobatto Pseudo-spectral methods can be obtained as special cases of the underlying method.
Moreover, the SJGLP method is extended to numerically approximate the nonlinear high-order NFDE with proportional delay.
Some examples are displayed for implicit and explicit forms of NFDEs to demonstrate the computation accuracy of the proposed method.
We also compare the performance of the method with variational iteration method, one-leg θ-method, continuous Runge-Kutta method, and reproducing kernel Hilbert space method.
American Psychological Association (APA)
Bhrawy, Ali H.& Alghamdi, Mohammad Ali& Baleanu, Dumitru. 2013. Numerical Solution of a Class of Functional-Differential Equations Using Jacobi Pseudospectral Method. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-477639
Modern Language Association (MLA)
Bhrawy, Ali H.…[et al.]. Numerical Solution of a Class of Functional-Differential Equations Using Jacobi Pseudospectral Method. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-477639
American Medical Association (AMA)
Bhrawy, Ali H.& Alghamdi, Mohammad Ali& Baleanu, Dumitru. Numerical Solution of a Class of Functional-Differential Equations Using Jacobi Pseudospectral Method. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-477639
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477639