Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2013, Special Issue (2013), Article ID 513808, 9 pages.
Numerical Solution of a Class of Functional-Differential Equations Using Jacobi Pseudospectral Method
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 -method, continuous Runge-Kutta method, and reproducing kernel Hilbert space method.
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 513808, 9 pages.
First available in Project Euclid: 26 February 2014
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Bhrawy, A. H.; Alghamdi, M. A.; Baleanu, D. Numerical Solution of a Class of Functional-Differential Equations Using Jacobi Pseudospectral Method. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 513808, 9 pages. doi:10.1155/2013/513808. https://projecteuclid.org/euclid.aaa/1393450256