Numerical solution of pantograph differential equations

To reach approximate serial solutions with the help of a suitable computer program by obtaining Adomian polynomials corresponding to nonlinear terms in the problem by using Pantograph equations, Adomian decomposition method, known as a special class of delayed differential equations, and to compare these solutions with exact solutions by making convergence analysis. In addition, it will be seen how easily, quickly and accurately the method to be discussed in this study solves pantograph type delayed differential equations and how much it saves in terms of time.