A Novel Hybrid Method for Singularly Perturbed Delay Differential Equations

The aim of the present study is to solve singularly perturbed second order linear delay differential equations by combining the flexibility of differential transform method and the efficiency of Taylor series expansion method. For this purpose, we use two-term Taylor series expansion method for delayed parameter linearization and then apply the differential transform method. Two examples are presented to demonstrate the efficiency, rapidity and reliability of the proposed hybrid method.