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

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.

Keywords

• The systems of nonlinear Pantograph differential equation
• Collocation method
• Fibonacci polynomials