BibTex RIS Kaynak Göster

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

Yıl 2009, Cilt: 12 Sayı: 2, 75 - 82, 01.04.2009

Hüseyin Demir İnci Çilingir Süngü

Öz

Anahtar Kelimeler

-

Kaynakça

  • 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

Yıl 2009, Cilt: 12 Sayı: 2, 75 - 82, 01.04.2009

Hüseyin Demir İnci Çilingir Süngü

Öz

Anahtar Kelimeler

-

Kaynakça

  • 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.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Makaleler
Yazarlar

Hüseyin Demir Bu kişi benim

İnci Çilingir Süngü Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2009
Yayımlandığı Sayı Yıl 2009 Cilt: 12 Sayı: 2

Kaynak Göster

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. Nisan 2009;12(2):75-82.
Chicago Demir, Hüseyin, ve İnci Çilingir Süngü. “Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method”. Cankaya University Journal of Law 12, sy. 2 (Nisan 2009): 75-82.
EndNote Demir H, Süngü İÇ (01 Nisan 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 ve İ. Ç. Süngü, “Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method”, Cankaya University Journal of Law, c. 12, sy. 2, ss. 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 (Nisan 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 ve İnci Çilingir Süngü. “Numerical Solution of a Class of Nonlinear Emden-Fowler Equations by Using Differential Transform Method”. Cankaya University Journal of Law, c. 12, sy. 2, 2009, ss. 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.