Laguerre matrix method with the residual error estimation for solutions of a class of delay differential equations

YÜZBAŞI Ş., Gok E., Sezer M.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.37, no.4, pp.453-463, 2014 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 37 Issue: 4
  • Publication Date: 2014
  • Doi Number: 10.1002/mma.2801
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.453-463
  • Keywords: Laguerre polynomials ans series, delay differential equations, matrix method, residual error technique, MULTI-PANTOGRAPH EQUATION, NUMERICAL-SOLUTION, APPROXIMATE SOLUTION, POLYNOMIAL APPROACH, COLLOCATION, SCHEME
  • Akdeniz University Affiliated: Yes

Abstract

In this study, a practical matrix method based on Laguerre polynomials is presented to solve the higher-order linear delay differential equations with constant coefficients and functional delays under the mixed conditions. Also, an error analysis technique based on residual function is developed and applied to some problems to demonstrate the validity and applicability of the method. In addition, an algorithm written in Matlab is given for the method.

In this study, a practical matrix method based on Laguerre polynomials is presented to solve the higher-order linear delay differential equations with constant coefficients and functional delays under the mixed conditions. Also, an error analysis technique based on residual function is developed and applied to some problems to demonstrate the validity and applicability of the method. In addition, an algorithm written in Matlab is given for the method. Copyright (c) 2013 John Wiley & Sons, Ltd.