Solution of time-varying delay systems using an adaptive collocation method

Mohammad Maleki, Ishak Hashim, S. Abbasbandy

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

An adaptive Legendre-Gauss-Radau collocation method is presented for solving time-varying delay systems. By dividing the domain of the problem into a uniform mesh, the delay system is replaced with a sequence of initial value problems. The method developed in this paper adjusts both the mesh spacing and the degree of the polynomial on each mesh interval in order a specified error tolerance is satisfied. We investigate some error estimates on the whole domain of interest. Some numerical examples are given and comparisons with other methods are made to demonstrate the efficiency and accuracy of the proposed method.

Original languageEnglish
Pages (from-to)1434-1448
Number of pages15
JournalApplied Mathematics and Computation
Volume219
Issue number4
DOIs
Publication statusPublished - 1 Nov 2012

Fingerprint

Time-varying Systems
Delay Systems
Adaptive Method
Time-varying Delay
Collocation Method
Mesh
Initial value problems
Polynomials
Legendre
Gauss
Spacing
Initial Value Problem
Tolerance
Error Estimates
Numerical Examples
Interval
Polynomial
Demonstrate

Keywords

  • Adaptive collocation method
  • Delay system
  • Initial value problem
  • Legendre-Gauss-Radau collocation method
  • Time-varying

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics

Cite this

Solution of time-varying delay systems using an adaptive collocation method. / Maleki, Mohammad; Hashim, Ishak; Abbasbandy, S.

In: Applied Mathematics and Computation, Vol. 219, No. 4, 01.11.2012, p. 1434-1448.

Research output: Contribution to journalArticle

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