A Novel Hybrid Method for Singularly Perturbed Delay Differential Equations

Abstract

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