A new numerical method to solve pantograph delay differential equations with convergence analysis

Abstract The main aim presented in this article is to provide an efficient transferred Legendre pseudospectral method for solving pantograph delay differential equations. At the first step, we transform problem into a continuous-time optimization and then utilize discretize problem. By discrete problem, can attain pointwise continuous estimated solutions major equation. convergence of has been considered. Also, numerical experiments are described show performance precision technique. Moreover, obtained results compared with those from other techniques.