A New Approach for Solving Multi–Pantograph Type Delay Differential Equations

In this paper, a modified procedure based on the residual power series method is implemented to achieve an accurate approximate solution for a system of multi-pantograph type delay differential equations (DDEs). This modification is considered as a hybrid technique for improving the a curacy of the standard residual power series method (RPSM) by combining the RPSM, laplace transform and Pade approximant to be a powerful technique that can be solve the problems directly without large computational work, also even enlarge domain and leads to very accurate solutions or gives the exact solutions which is consider the best advantage of this technique. Some numerical applications are illustrated and numerical results are provided to prove and demonstrate the validity and efficiency of this technique for this type of important differential equation that appears in different applications in engineering and control system.