Research Article

Extraction of Some New Solutions of Linear Differential Equations by Dual Space

Volume: 12 Number: 2 December 31, 2020
EN

Extraction of Some New Solutions of Linear Differential Equations by Dual Space

Abstract

In this study, the solutions of second order linear homogeneous ordinary differential equations being variable and constant coefficients have been obtained by using power series method which is used frequently in dual space. The solutions of second order homogeneous ordinary differential equations being constant and variable coefficients in dual space by using power series have given and some applications have implemented.

Keywords

References

  1. Asil, V., Aydın, M.E., Küçükarslan, Z., Çınar, G., Tatlıpınar, S., The solution of differential equations using dual functions, e-Journal of NWSA, 4(4)(2009), Article number: 3A0012.
  2. Aydın, M., Kuryel, B., Gündüz, G., Oturanç, G., Differential Equations and Applications, E.U. Textbooks Publications of Faculty of Engineering, No.14, İzmir, 2001.
  3. Hacısalihoğlu, H.H., General dual motion of n moving reference frames}, Communications de la Faculte des Sciences De l'Universite d'Ankara, (1971), 71--85.
  4. Hacısalihoğlu, H.H., Motion Geometry and Quaternions Theory, Gazi University Faculty of Arts and Science Publications, Math. 2, 1983.
  5. Jimenez, N.G, Torba, S.M., Spectral parameter power series representation for solutions of linear system of two first order differential equations, Applied Mathematics and Computation, 370(124911), (2020), 1--10.
  6. Mak, M., Koru Yücekaya, G., Çetinkaya, A., On the solutions of differential equations with series of powers in dual space, VII. National Geometry Symposium, 07-10 July 2009, Kırşehir, Turkey, (2009).
  7. Ritger, Paul D., Rose, Nicholas J., Differential Equations with Applications, NY, Dover Publications, IX., 2000.
  8. Ross, Shepley L., Differential Equations, John Wiley and Sons, Inc., 1974.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 31, 2020

Submission Date

October 9, 2020

Acceptance Date

December 14, 2020

Published in Issue

Year 2020 Volume: 12 Number: 2

APA
Koru Yücekaya, G. (2020). Extraction of Some New Solutions of Linear Differential Equations by Dual Space. Turkish Journal of Mathematics and Computer Science, 12(2), 176-183. https://doi.org/10.47000/tjmcs.808617
AMA
1.Koru Yücekaya G. Extraction of Some New Solutions of Linear Differential Equations by Dual Space. TJMCS. 2020;12(2):176-183. doi:10.47000/tjmcs.808617
Chicago
Koru Yücekaya, Gülay. 2020. “Extraction of Some New Solutions of Linear Differential Equations by Dual Space”. Turkish Journal of Mathematics and Computer Science 12 (2): 176-83. https://doi.org/10.47000/tjmcs.808617.
EndNote
Koru Yücekaya G (December 1, 2020) Extraction of Some New Solutions of Linear Differential Equations by Dual Space. Turkish Journal of Mathematics and Computer Science 12 2 176–183.
IEEE
[1]G. Koru Yücekaya, “Extraction of Some New Solutions of Linear Differential Equations by Dual Space”, TJMCS, vol. 12, no. 2, pp. 176–183, Dec. 2020, doi: 10.47000/tjmcs.808617.
ISNAD
Koru Yücekaya, Gülay. “Extraction of Some New Solutions of Linear Differential Equations by Dual Space”. Turkish Journal of Mathematics and Computer Science 12/2 (December 1, 2020): 176-183. https://doi.org/10.47000/tjmcs.808617.
JAMA
1.Koru Yücekaya G. Extraction of Some New Solutions of Linear Differential Equations by Dual Space. TJMCS. 2020;12:176–183.
MLA
Koru Yücekaya, Gülay. “Extraction of Some New Solutions of Linear Differential Equations by Dual Space”. Turkish Journal of Mathematics and Computer Science, vol. 12, no. 2, Dec. 2020, pp. 176-83, doi:10.47000/tjmcs.808617.
Vancouver
1.Gülay Koru Yücekaya. Extraction of Some New Solutions of Linear Differential Equations by Dual Space. TJMCS. 2020 Dec. 1;12(2):176-83. doi:10.47000/tjmcs.808617