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

Abstract

References

  • 1) Prof. Dr. Fatma AyazDepartment of Mathematics, Faculty of Science, University of Gazi, Ankara, Turkey email: fayaz@gazi.edu.tr
  • 2) Prof Dr. Musa ÇakırDepartment of Mathematics, Faculty of Science, University of Yuzuncu Yil, Van, Turkey email: cakirmusa@hotmail.com
  • 3) Doç Dr. Hacı Mehmet BaşkonuşDepartment of Computer Engineering, Munzur University, Tunceli, Turkeyemail: hmbaskonus@munzur.edu.tr

A Novel Hybrid Method for Singularly Perturbed Delay Differential Equations

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

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.

References

  • 1) Prof. Dr. Fatma AyazDepartment of Mathematics, Faculty of Science, University of Gazi, Ankara, Turkey email: fayaz@gazi.edu.tr
  • 2) Prof Dr. Musa ÇakırDepartment of Mathematics, Faculty of Science, University of Yuzuncu Yil, Van, Turkey email: cakirmusa@hotmail.com
  • 3) Doç Dr. Hacı Mehmet BaşkonuşDepartment of Computer Engineering, Munzur University, Tunceli, Turkeyemail: hmbaskonus@munzur.edu.tr
There are 3 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Mathematics
Authors

Derya Arslan

Publication Date March 1, 2019
Published in Issue Year 2019 Volume: 32 Issue: 1

Cite

APA Arslan, D. (2019). A Novel Hybrid Method for Singularly Perturbed Delay Differential Equations. Gazi University Journal of Science, 32(1), 217-223.
AMA Arslan D. A Novel Hybrid Method for Singularly Perturbed Delay Differential Equations. Gazi University Journal of Science. March 2019;32(1):217-223.
Chicago Arslan, Derya. “A Novel Hybrid Method for Singularly Perturbed Delay Differential Equations”. Gazi University Journal of Science 32, no. 1 (March 2019): 217-23.
EndNote Arslan D (March 1, 2019) A Novel Hybrid Method for Singularly Perturbed Delay Differential Equations. Gazi University Journal of Science 32 1 217–223.
IEEE D. Arslan, “A Novel Hybrid Method for Singularly Perturbed Delay Differential Equations”, Gazi University Journal of Science, vol. 32, no. 1, pp. 217–223, 2019.
ISNAD Arslan, Derya. “A Novel Hybrid Method for Singularly Perturbed Delay Differential Equations”. Gazi University Journal of Science 32/1 (March 2019), 217-223.
JAMA Arslan D. A Novel Hybrid Method for Singularly Perturbed Delay Differential Equations. Gazi University Journal of Science. 2019;32:217–223.
MLA Arslan, Derya. “A Novel Hybrid Method for Singularly Perturbed Delay Differential Equations”. Gazi University Journal of Science, vol. 32, no. 1, 2019, pp. 217-23.
Vancouver Arslan D. A Novel Hybrid Method for Singularly Perturbed Delay Differential Equations. Gazi University Journal of Science. 2019;32(1):217-23.