Numerical solution of a class of functional-differential equations using Jacobi pseudospectral method
type: Item
instance of: scholarly article
title: Numerical solution of a class of functional-differential equations using Jacobi pseudospectral method
zbMATH Open document ID: 1291.65243
DOI: 10.1155/2013/513808
author: A. H. Bhrawy
author: Mohammed Ali Al-Ghamdi
author: D. Baleanu
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: 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 \(\theta\)-method, continuous Runge-Kutta method, and reproducing kernel Hilbert space method.
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65L03
zbMATH DE Number: 6306959
Wikidata QID: Q58916969
describes a project that uses: Matlab
describes a project that uses: Chebpack
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/513808
OpenAlex ID: W2114339914
cites work: Q4039908
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description: scientific article; zbMATH DE number 6306959