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, cilt.37, sa.4, ss.453-463, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 4
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1002/mma.2801
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.453-463
  • Anahtar Kelimeler: Laguerre polynomials ans series, delay differential equations, matrix method, residual error technique, MULTI-PANTOGRAPH EQUATION, NUMERICAL-SOLUTION, APPROXIMATE SOLUTION, POLYNOMIAL APPROACH, COLLOCATION, SCHEME
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.

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.