Research Article

On an application of Laplace transforms

Volume: 5 Number: 2 March 30, 2017
EN

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

References

  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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Murat Duz *
Türkiye

Publication Date

March 30, 2017

Submission Date

August 4, 2015

Acceptance Date

October 30, 2015

Published in Issue

Year 2017 Volume: 5 Number: 2

APA
Duz, M. (2017). On an application of Laplace transforms. New Trends in Mathematical Sciences, 5(2), 193-198. https://izlik.org/JA63EC88PA
AMA
1.Duz M. On an application of Laplace transforms. New Trends in Mathematical Sciences. 2017;5(2):193-198. https://izlik.org/JA63EC88PA
Chicago
Duz, Murat. 2017. “On an Application of Laplace Transforms”. New Trends in Mathematical Sciences 5 (2): 193-98. https://izlik.org/JA63EC88PA.
EndNote
Duz M (March 1, 2017) On an application of Laplace transforms. New Trends in Mathematical Sciences 5 2 193–198.
IEEE
[1]M. Duz, “On an application of Laplace transforms”, New Trends in Mathematical Sciences, vol. 5, no. 2, pp. 193–198, Mar. 2017, [Online]. Available: https://izlik.org/JA63EC88PA
ISNAD
Duz, Murat. “On an Application of Laplace Transforms”. New Trends in Mathematical Sciences 5/2 (March 1, 2017): 193-198. https://izlik.org/JA63EC88PA.
JAMA
1.Duz M. On an application of Laplace transforms. New Trends in Mathematical Sciences. 2017;5:193–198.
MLA
Duz, Murat. “On an Application of Laplace Transforms”. New Trends in Mathematical Sciences, vol. 5, no. 2, Mar. 2017, pp. 193-8, https://izlik.org/JA63EC88PA.
Vancouver
1.Murat Duz. On an application of Laplace transforms. New Trends in Mathematical Sciences [Internet]. 2017 Mar. 1;5(2):193-8. Available from: https://izlik.org/JA63EC88PA