Araştırma Makalesi

On an application of Laplace transforms

Cilt: 5 Sayı: 3 1 Temmuz 2017
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On an application of Laplace transforms

Abstract

In this study, complex differential equations are solved using laplace transform. Firstly we seperate real and imaginer parts of equation. Thus from one unknown equation is obtained two unknown equation system. Later we obtain laplace transforms of real and imaginer parts of solutions using laplace transform. In the latest we obtain real and imaginer parts of solution using inverse laplace transform.

Keywords

Kaynakça

  1. Yin, F. K., Han, W. Y.and Song, J. Q, “Modified Laplace decomposition method for Lane-Emden Type differential equations”, International Jaurnal of Applied Physics and Matematics, 3 (2): 98-102 (2013).
  2. Mohamed, M. A. and Torky, M. S., “Numerical solution of nonlinear system of parial differential equations by the Laplace decomposition method and the padeapproximation”, American Journal of Computational Mathematics,3 (3): 175-184 (2013).
  3. Yusufoglu, E., “Numerical Solution of duffing equation by the Laplace decomposition algorithm”, Applied Mathematics and Computation,177 (2): 572-580 (2006).
  4. Kazem, S.,"Exact Solution of Some Linear Fractional Differential Equations by Laplace Transform", International Journal of Nonlinear Science, 16 (2013) No:1 pp. 3-11.
  5. Kexue, L., Jigen, P. "Laplace transform and fractional differential equations", Applied Mathematics Letters, 24 (2011) 2019–2023.
  6. Gupta, S., Kumar, D., Singh, J."Numerical study for systems of fractional differential equations via Laplace transform ", Journal of the Egyptian Mathematical Society, (2015) 23, 256–262.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Murat Duz *
Türkiye

Yayımlanma Tarihi

1 Temmuz 2017

Gönderilme Tarihi

3 Ekim 2016

Kabul Tarihi

9 Kasım 2016

Yayımlandığı Sayı

Yıl 2017 Cilt: 5 Sayı: 3

Kaynak Göster

APA
Duz, M. (2017). On an application of Laplace transforms. New Trends in Mathematical Sciences, 5(3), 53-59. https://izlik.org/JA53HR73JH
AMA
1.Duz M. On an application of Laplace transforms. New Trends in Mathematical Sciences. 2017;5(3):53-59. https://izlik.org/JA53HR73JH
Chicago
Duz, Murat. 2017. “On an application of Laplace transforms”. New Trends in Mathematical Sciences 5 (3): 53-59. https://izlik.org/JA53HR73JH.
EndNote
Duz M (01 Temmuz 2017) On an application of Laplace transforms. New Trends in Mathematical Sciences 5 3 53–59.
IEEE
[1]M. Duz, “On an application of Laplace transforms”, New Trends in Mathematical Sciences, c. 5, sy 3, ss. 53–59, Tem. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA53HR73JH
ISNAD
Duz, Murat. “On an application of Laplace transforms”. New Trends in Mathematical Sciences 5/3 (01 Temmuz 2017): 53-59. https://izlik.org/JA53HR73JH.
JAMA
1.Duz M. On an application of Laplace transforms. New Trends in Mathematical Sciences. 2017;5:53–59.
MLA
Duz, Murat. “On an application of Laplace transforms”. New Trends in Mathematical Sciences, c. 5, sy 3, Temmuz 2017, ss. 53-59, https://izlik.org/JA53HR73JH.
Vancouver
1.Murat Duz. On an application of Laplace transforms. New Trends in Mathematical Sciences [Internet]. 01 Temmuz 2017;5(3):53-9. Erişim adresi: https://izlik.org/JA53HR73JH