BibTex RIS Kaynak Göster

İKİNCİ MERTEBEDEN BİR DİFERENSİYEL DENKLEM SINIFI İÇİN BAŞLANGIÇ DEĞER PROBLEMİNİN DİFERENSİYEL DÖNÜŞÜM YÖNTEMİ İLE TAM ÇÖZÜMLERİ

Yıl 2010, Cilt: 3 Sayı: 2, 199 - 206, 11.03.2014

Öz

Bu çalışmada ikinci mertebeden bir lineer adi diferensiyel denklem sınıfı için başlangıç değer probleminin diferensiyel dönüşüm yöntemi olarak bilinen nispeten yeni bir seri çözüm yöntemi ile çözümlerinin bulunması ele alındı.Yöntem matematiksel fiziğin üç farklı denklemine uygulandı ve tam çözümler elde edildi.

Kaynakça

  • Bougoffa, L. (2009). On the exact solutions for initial value problems of second-order differential equations, Applied Mathematics Letters, 22(8), 1248-1251.
  • Davis, H.T. (1962). Introduction to Nonlinear Differential and Integral Equations, Dover Publications, New York.
  • Ertürk, V.S. (2007). Differential transformation method for solving differential equations of Lane-Emden type, Mathematical and Computational Applications, 12(3), 135-139.
  • Ertürk, V.S., Momani, S. (2007). A reliable algorithm for solving tenth-order boundary value problems, Numerical Algorithms, 44(2), 147-158.
  • Groswald, E. (1978). Bessel Polynomials, Springer, Berlin.
  • Hosseini, M.M., Nasabzadeh, H. (2007). Modified Adomian decomposition method for specific second order ordinary differential equations, Applied Mathematics and Computation, 186(1) ,117-123.
  • Pukhov, G.E.(1978). Computational structure for solving differential equations by Taylor transformations, Cybernetics and Systems Analysis, 14(3), 383-390.
  • Wazwaz, A.M. (2009)The variational iteration method for analytic treatment for linear and nonlinear ODEs, Applied Mathematics and Computation, 212(1), 120-134.
  • Zhou, J.K. (1986). Differential Transformation and its Applications for Electrical Circuits, Huazhong University Press, Wuhan, China.
Yıl 2010, Cilt: 3 Sayı: 2, 199 - 206, 11.03.2014

Öz

Kaynakça

  • Bougoffa, L. (2009). On the exact solutions for initial value problems of second-order differential equations, Applied Mathematics Letters, 22(8), 1248-1251.
  • Davis, H.T. (1962). Introduction to Nonlinear Differential and Integral Equations, Dover Publications, New York.
  • Ertürk, V.S. (2007). Differential transformation method for solving differential equations of Lane-Emden type, Mathematical and Computational Applications, 12(3), 135-139.
  • Ertürk, V.S., Momani, S. (2007). A reliable algorithm for solving tenth-order boundary value problems, Numerical Algorithms, 44(2), 147-158.
  • Groswald, E. (1978). Bessel Polynomials, Springer, Berlin.
  • Hosseini, M.M., Nasabzadeh, H. (2007). Modified Adomian decomposition method for specific second order ordinary differential equations, Applied Mathematics and Computation, 186(1) ,117-123.
  • Pukhov, G.E.(1978). Computational structure for solving differential equations by Taylor transformations, Cybernetics and Systems Analysis, 14(3), 383-390.
  • Wazwaz, A.M. (2009)The variational iteration method for analytic treatment for linear and nonlinear ODEs, Applied Mathematics and Computation, 212(1), 120-134.
  • Zhou, J.K. (1986). Differential Transformation and its Applications for Electrical Circuits, Huazhong University Press, Wuhan, China.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Makaleler
Yazarlar

Vedat Ertürk

Yayımlanma Tarihi 11 Mart 2014
Yayımlandığı Sayı Yıl 2010 Cilt: 3 Sayı: 2

Kaynak Göster

APA Ertürk, V. (2014). İKİNCİ MERTEBEDEN BİR DİFERENSİYEL DENKLEM SINIFI İÇİN BAŞLANGIÇ DEĞER PROBLEMİNİN DİFERENSİYEL DÖNÜŞÜM YÖNTEMİ İLE TAM ÇÖZÜMLERİ. Erzincan University Journal of Science and Technology, 3(2), 199-206.