BibTex RIS Cite

Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method

Year 2009, Volume: 12 Issue: 2, 75 - 82, 01.04.2009

Hüseyin Demir İnci Çilingir Süngü

Abstract

Keywords

-

References

  • S. Chandrasekhar, Introduction to the Study of Stellar Structure, Dover Publications, New York, 1967.
  • H. T. Davis, Introduction to Nonlinear Differential and Integral Equations, Dover Publications, New York, 1962.
  • O. U. Richardson, the Emission of Electricity from Hot Bodies, Longman, Green and Co., London, 1921.
  • M. S. H. Chowdhury, I. Hashim, Solutions of Emden-Fowler Equations by homotopy- perturbation Method, Nonlinear Analysis: Real Word Applications, 10 (2009) 104-115.
  • J. K. Zhou, Differential Transformation and its Applications for Electrical Circuits, Huazhong University Press, Wuhan, P. R. China (1986), In Chinese.
  • A. Arikoglu, I. Ozkol, Solution of difference equations by using differential transform method, Applied Mathematics and Computation, 174 (2006) 1216-1228.
  • F. Ayaz, Solutions of the system of differential equations by differential transform method, Applied Mathematics and Computation, 147 (2004) 547-567.
  • C. L. Chen, Y. C. Liu, Solutions of two-boundary-value problems using the differential transform method, Journal of Optimization Theory and Application, 99 (1998) 23-35.
  • I. H. Abdel-Halim Hassan, differential transform technique for solving higher order initial value problems, Applied Mathematics and Computation, 154 (2004) 299-311.
  • C. K. Chen, S. S. Chen, Application of the differential transform method to a non-linear conservative system, Applied Mathematics and Computation 154 (2004) 431-441.
  • C. W. Bert, H. Zeng, Analysis of axial vibration of compound bars by differential transform method, Journal of Sound and Vibration, 275 (2004) 641-647.
  • B. L. Kuo, Applications of the differential transform method to the solutions of the free convection problem, Applied Mathematics and Computation 165 (2005) 63-79.
  • L. M. Berkovich, The Generalized Emden-Fowler Equation, Symmetry in Nonlinear Mathematical Physics, V. 1, (1997), 155-163.

Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method

Year 2009, Volume: 12 Issue: 2, 75 - 82, 01.04.2009

Hüseyin Demir İnci Çilingir Süngü

Abstract

Keywords

-

References

  • S. Chandrasekhar, Introduction to the Study of Stellar Structure, Dover Publications, New York, 1967.
  • H. T. Davis, Introduction to Nonlinear Differential and Integral Equations, Dover Publications, New York, 1962.
  • O. U. Richardson, the Emission of Electricity from Hot Bodies, Longman, Green and Co., London, 1921.
  • M. S. H. Chowdhury, I. Hashim, Solutions of Emden-Fowler Equations by homotopy- perturbation Method, Nonlinear Analysis: Real Word Applications, 10 (2009) 104-115.
  • J. K. Zhou, Differential Transformation and its Applications for Electrical Circuits, Huazhong University Press, Wuhan, P. R. China (1986), In Chinese.
  • A. Arikoglu, I. Ozkol, Solution of difference equations by using differential transform method, Applied Mathematics and Computation, 174 (2006) 1216-1228.
  • F. Ayaz, Solutions of the system of differential equations by differential transform method, Applied Mathematics and Computation, 147 (2004) 547-567.
  • C. L. Chen, Y. C. Liu, Solutions of two-boundary-value problems using the differential transform method, Journal of Optimization Theory and Application, 99 (1998) 23-35.
  • I. H. Abdel-Halim Hassan, differential transform technique for solving higher order initial value problems, Applied Mathematics and Computation, 154 (2004) 299-311.
  • C. K. Chen, S. S. Chen, Application of the differential transform method to a non-linear conservative system, Applied Mathematics and Computation 154 (2004) 431-441.
  • C. W. Bert, H. Zeng, Analysis of axial vibration of compound bars by differential transform method, Journal of Sound and Vibration, 275 (2004) 641-647.
  • B. L. Kuo, Applications of the differential transform method to the solutions of the free convection problem, Applied Mathematics and Computation 165 (2005) 63-79.
  • L. M. Berkovich, The Generalized Emden-Fowler Equation, Symmetry in Nonlinear Mathematical Physics, V. 1, (1997), 155-163.
There are 13 citations in total.

Details

Primary Language Turkish
Journal Section Articles
Authors

Hüseyin Demir This is me

İnci Çilingir Süngü This is me

Publication Date April 1, 2009
Published in Issue Year 2009 Volume: 12 Issue: 2

Cite

APA Demir, H., & Süngü, İ. Ç. (2009). Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method. Cankaya University Journal of Law, 12(2), 75-82.
AMA Demir H, Süngü İÇ. Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method. Cankaya University Journal of Law. April 2009;12(2):75-82.
Chicago Demir, Hüseyin, and İnci Çilingir Süngü. “Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method”. Cankaya University Journal of Law 12, no. 2 (April 2009): 75-82.
EndNote Demir H, Süngü İÇ (April 1, 2009) Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method. Cankaya University Journal of Law 12 2 75–82.
IEEE H. Demir and İ. Ç. Süngü, “Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method”, Cankaya University Journal of Law, vol. 12, no. 2, pp. 75–82, 2009.
ISNAD Demir, Hüseyin - Süngü, İnci Çilingir. “Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method”. Cankaya University Journal of Law 12/2 (April 2009), 75-82.
JAMA Demir H, Süngü İÇ. Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method. Cankaya University Journal of Law. 2009;12:75–82.
MLA Demir, Hüseyin and İnci Çilingir Süngü. “Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method”. Cankaya University Journal of Law, vol. 12, no. 2, 2009, pp. 75-82.
Vancouver Demir H, Süngü İÇ. Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method. Cankaya University Journal of Law. 2009;12(2):75-82.