An approaching method based on integral for linear neutral delay differential equations by using Hermite polynomials

Yüzbaşı Ş., Karaağaçlı Ö.

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, vol.37, no.4, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 4
  • Publication Date: 2024
  • Doi Number: 10.1002/jnm.3266
  • Journal Name: International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Keywords: collocation method, collocation points, delay differential equations, Hermite polynomials, neutral delay differential equations
  • Akdeniz University Affiliated: Yes

Abstract

This article presents a approximation method for linear neutral delay differential equations using Hermite polynomials. The method ensures the unknown function to be found by approximating the first derivative with the help of the finite Hermite series. This method reduces the problem to a linear algebraic system using the first derivative approach, matrix operations and collocation points. Also error of the solution is estimated by constructing an error problem. Numerical examples are solved to explain the method and error estimation technique. The results demonstrate the effectiveness and accuracy of the current study. Calculations have been made using MATLAB.