A Novel Hybrid Method for Singularly Perturbed Delay Differential Equations

Year 2019, Volume: 32 Issue: 1, 217 - 223, 01.03.2019

Derya Arslan

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