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 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.

Keywords

• Singularly perturbed delay differential equation,Taylor series expansion,Differential transform method,Numerical solution

References

1. 1) Prof. Dr. Fatma AyazDepartment of Mathematics, Faculty of Science, University of Gazi, Ankara, Turkey email: [e-mail]
2. 2) Prof Dr. Musa ÇakırDepartment of Mathematics, Faculty of Science, University of Yuzuncu Yil, Van, Turkey email: [e-mail]
3. 3) Doç Dr. Hacı Mehmet BaşkonuşDepartment of Computer Engineering, Munzur University, Tunceli, Turkeyemail: [e-mail]