A numerical method for solving a class of systems of nonlinear Pantograph differential equations

ÇAKMAK M., Alkan S.

Alexandria Engineering Journal, vol.61, no.4, pp.2651-2661, 2022 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 61 Issue: 4
  • Publication Date: 2022
  • Doi Number: 10.1016/j.aej.2021.07.028
  • Journal Name: Alexandria Engineering Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, Directory of Open Access Journals
  • Page Numbers: pp.2651-2661
  • Keywords: Collocation method, Fibonacci polynomials, The systems of nonlinear Pantograph differential equation
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

In this paper, Fibonacci collocation method is firstly used for approximately solving a class of systems of nonlinear Pantograph differential equations with initial conditions. The problem is firstly reduced into a nonlinear algebraic system via collocation points, later the unknown coefficients of the approximate solution function are calculated. Also, some problems are presented to test the performance of the proposed method by using the absolute error functions. Additionally, the obtained numerical results are compared with exact solutions of the test problems and approximate ones obtained with other methods in the literature.