Research Article

On Solving Coullet System by Differential Transformation Method

Volume: 8 Number: 1 May 1, 2011
EN

On Solving Coullet System by Differential Transformation Method

Abstract

The differential transformation method is employed to solve a system of nonlinear differential equations, namely Coullet system. Numerical results are compared to those obtained by the fourth-order Runge-Kutta method to illustrate the preciseness and effectiveness of the proposed method. It is shown that the proposed method is robust, accurate and easy to apply. 

Keywords

References

  1. [1] J. K. Zhou, Differential Transformation and its Applications for Electrical Circuits (In Chinese), Huazhong University Press, Wuhan, China 1986.
  2. [2] V. S. Ert¨urk, Differential transformation method for solving differential equations of LaneEmden type, Mathematical and Computational Applications 12 (2007), 135–139.
  3. [3] V. S. Ert¨urk, Solution of linear twelfth-order boundary value problems by using differential transform method, International Journal of Applied Mathematics & Statistics 13(M08) (2008), 57–63.
  4. [4] S.-H. Chang and I.-L. Chang, A new algorithm for calculating one-dimensional differential transform of nonlinear functions, Applied Mathematics and Computation 195 (2008), 799–808.
  5. [5] H. Demir and ˙I. C¸ . S¨ung¨u, Numerical solution of a class of nonlinear Emden-Fowler equations by using differential transform method, C¸ ankaya Universitesi Journal of Arts and Sciences ¨ 12 (2009), 75–81.
  6. [6] M. Merdan and A. G¨okdo˘gan, Solution of nonlinear oscillators with fractional nonlinearities by using the modified differential transformation method, Mathematical and Computational Applications 16 (2011), 761–772.
  7. [7] I. Hashim, M. S. M. Noorani, R. Ahmad, S. A. Bakar, E. S. Ismail and A. M. Zakaria, Accuracy of the Adomian decomposition method applied to the Lorenz system, Chaos, Solitons & Fractals 28 (2006), 1149–1158.
  8. [8] A. Arneodo, P. Coullet and C. Tresser, Possible new strange attractors with spiral structure, Communications in Mathematical Physics 79 (1981), 573–579.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Ahmet Gökdoğan This is me

Vedat Suat Ertürk This is me

Publication Date

May 1, 2011

Submission Date

May 1, 2011

Acceptance Date

-

Published in Issue

Year 2011 Volume: 8 Number: 1

APA
Merdan, M., Gökdoğan, A., & Ertürk, V. S. (2011). On Solving Coullet System by Differential Transformation Method. Cankaya University Journal of Science and Engineering, 8(1). https://izlik.org/JA49GP67CH
AMA
1.Merdan M, Gökdoğan A, Ertürk VS. On Solving Coullet System by Differential Transformation Method. CUJSE. 2011;8(1). https://izlik.org/JA49GP67CH
Chicago
Merdan, Mehmet, Ahmet Gökdoğan, and Vedat Suat Ertürk. 2011. “On Solving Coullet System by Differential Transformation Method”. Cankaya University Journal of Science and Engineering 8 (1). https://izlik.org/JA49GP67CH.
EndNote
Merdan M, Gökdoğan A, Ertürk VS (May 1, 2011) On Solving Coullet System by Differential Transformation Method. Cankaya University Journal of Science and Engineering 8 1
IEEE
[1]M. Merdan, A. Gökdoğan, and V. S. Ertürk, “On Solving Coullet System by Differential Transformation Method”, CUJSE, vol. 8, no. 1, May 2011, [Online]. Available: https://izlik.org/JA49GP67CH
ISNAD
Merdan, Mehmet - Gökdoğan, Ahmet - Ertürk, Vedat Suat. “On Solving Coullet System by Differential Transformation Method”. Cankaya University Journal of Science and Engineering 8/1 (May 1, 2011). https://izlik.org/JA49GP67CH.
JAMA
1.Merdan M, Gökdoğan A, Ertürk VS. On Solving Coullet System by Differential Transformation Method. CUJSE. 2011;8. Available at https://izlik.org/JA49GP67CH.
MLA
Merdan, Mehmet, et al. “On Solving Coullet System by Differential Transformation Method”. Cankaya University Journal of Science and Engineering, vol. 8, no. 1, May 2011, https://izlik.org/JA49GP67CH.
Vancouver
1.Mehmet Merdan, Ahmet Gökdoğan, Vedat Suat Ertürk. On Solving Coullet System by Differential Transformation Method. CUJSE [Internet]. 2011 May 1;8(1). Available from: https://izlik.org/JA49GP67CH