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

Autor: Musa Cakmak, Sertan Alkan
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Alexandria Engineering Journal, Vol 61, Iss 4, Pp 2651-2661 (2022)
Druh dokumentu: article
ISSN: 1110-0168
DOI: 10.1016/j.aej.2021.07.028
Popis: 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.
Databáze: Directory of Open Access Journals