The pantograph equation is a special type of functional differential equations with proportional delay.The present study introduces a\ncompound technique incorporating the perturbation method with an iteration algorithm to solve numerically the delay differential\nequations of pantograph type.We put forward two types of algorithms, depending upon the order of derivatives in the Taylor series\nexpansion. The crucial convenience of this method when compared with other perturbation methods is that this method does not\nrequire a small perturbation parameter. Furthermore, a relatively fast convergence of the iterations to the exact solutions and more\naccurate results can be achieved. Several illustrative examples are given to demonstrate the efficiency and reliability of the technique,\neven for nonlinear cases.
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