Applications of Legendre spectral collocation method for solving system of time delay differential equations

The numerical techniques are regarded as the backbone of modern research. In literature, the exact solution of time delay differential models are hardly achievable or impossible. Therefore, numerical techniques are the only way to find their solution. In this article, a novel numerical technique kno...

Full description

Saved in:
Bibliographic Details
Published in:Advances in mechanical engineering 2020-06, Vol.12 (6)
Main Authors: Khan, Sami Ullah, Ali, Ishtiaq
Format: Article
Language:English
Subjects:
Collocation methods
Differential equations
Error analysis
Exact solutions
Ordinary differential equations
Polynomials
Spectra
Time lag
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The numerical techniques are regarded as the backbone of modern research. In literature, the exact solution of time delay differential models are hardly achievable or impossible. Therefore, numerical techniques are the only way to find their solution. In this article, a novel numerical technique known as Legendre spectral collocation method is used for the approximate solution of time delay differential system. Legendre spectral collocation method and their properties are applied to determined the general procedure for solving time delay differential system with detail error and convergence analysis. The method first convert the proposed system to a system of ordinary differential equations and then apply the Legendre polynomials to solve the resultant system efficiently. Finally, some numerical test problems are given to confirm the efficiency of the method and were compared with other available numerical schemes in the literature.
ISSN:1687-8132
1687-8140
DOI:10.1177/1687814020922113