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Chebyshev Polynomial Solution of Nonlinear Fredholm-Volterra Integro-Differential Equations

Yıl 2006, Cilt: 1 Sayı: 5, 89 - 101, 01.04.2006

Handan Çerdik-yaslan, Ayşegül Akyüz-daşcıoğlu Handann Çerdik-yasla

Öz

Anahtar Kelimeler

-

Kaynakça

  • A. Akyüz, M. Sezer, A Chebyshev collocation method for the solution linear integro differential equations, J. Comput. Math., 72 (1999) 491-507.
  • A. Avudainayagam, C. Vani, Wavelet-Galerkin method for integro-differential equations, Applied Numerical Mathematics, 32 (2000), 247-254.
  • K. Maleknejad, Y. Mahmoudi, Taylor polynomial solution of high-order nonlinear Volterra- Fredholm integro-differential equations, Appl. Math. Comput., 145 (2003) 641-653.
  • B. Sepehrian, M. Razzaghi, Single-term Walsh series method for the Volterra integro-differential equations, Engineering Analysis with Boundary Elements, 28 (2004) 1315-1319.
  • M. Sezer, S. Doğan, Chebyshev series solution of Fredholm Integral equations, Int. J. Math. Educ. Sci. Technol., 27 (1996) 649-657.
  • M. Sezer, M. Kaynak, Chebyshev polynomial solutions of linear differential equations, Int. Math. Educ. Sci. Technol., 27 (1996), 607-61.

Chebyshev Polynomial Solution of Nonlinear Fredholm-Volterra IntegroDifferential Equations

Yıl 2006, Cilt: 1 Sayı: 5, 89 - 101, 01.04.2006

Handan Çerdik-yaslan, Ayşegül Akyüz-daşcıoğlu Handann Çerdik-yasla

Öz

Bu çalışmada, lineer olmayan Fredholm-Volterra integro–diferansiyel denklemlerin yaklaşıkçözümlerini bulmak için Chebyshev sıralama yöntemi [1] geliştirilmiştir. Bu yöntem lineer olmayanFredholm-Volterra integro–diferansiyel denklemini, sıralama noktalarını kullanarak matris denkleminedönüştürür. Bu matris denklemi ise bilinmeyeni Chebyshev katsayıları olan lineer olmayan cebirseldenklem sistemine karşılık gelir. Çalışmanın sonunda yöntemin doğruluğunu göstermek için bazısayısal örnekler sunulmuştur

Anahtar Kelimeler

: Lineer Olmayan integro-diferansiyel denklemler Chebyshev serileri S›ralama Yöntemi.

Kaynakça

  • A. Akyüz, M. Sezer, A Chebyshev collocation method for the solution linear integro differential equations, J. Comput. Math., 72 (1999) 491-507.
  • A. Avudainayagam, C. Vani, Wavelet-Galerkin method for integro-differential equations, Applied Numerical Mathematics, 32 (2000), 247-254.
  • K. Maleknejad, Y. Mahmoudi, Taylor polynomial solution of high-order nonlinear Volterra- Fredholm integro-differential equations, Appl. Math. Comput., 145 (2003) 641-653.
  • B. Sepehrian, M. Razzaghi, Single-term Walsh series method for the Volterra integro-differential equations, Engineering Analysis with Boundary Elements, 28 (2004) 1315-1319.
  • M. Sezer, S. Doğan, Chebyshev series solution of Fredholm Integral equations, Int. J. Math. Educ. Sci. Technol., 27 (1996) 649-657.
  • M. Sezer, M. Kaynak, Chebyshev polynomial solutions of linear differential equations, Int. Math. Educ. Sci. Technol., 27 (1996), 607-61.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Makaleler
Yazarlar

Handan Çerdik-yaslan, Ayşegül Akyüz-daşcıoğlu

Handann Çerdik-yasla Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2006
Yayımlandığı Sayı Yıl 2006 Cilt: 1 Sayı: 5

Kaynak Göster

APA Akyüz-daşcıoğlu, H. Ç.-y. A. ., & Çerdik-yasla, H. (2006). Chebyshev Polynomial Solution of Nonlinear Fredholm-Volterra IntegroDifferential Equations. Cankaya University Journal of Arts and Sciences, 1(5), 89-101.
AMA Akyüz-daşcıoğlu HÇyA, Çerdik-yasla H. Chebyshev Polynomial Solution of Nonlinear Fredholm-Volterra IntegroDifferential Equations. Cankaya University Journal of Arts and Sciences. Nisan 2006;1(5):89-101.
Chicago Akyüz-daşcıoğlu, Handan Çerdik-yaslan, Ayşegül, ve Handann Çerdik-yasla. “Chebyshev Polynomial Solution of Nonlinear Fredholm-Volterra IntegroDifferential Equations”. Cankaya University Journal of Arts and Sciences 1, sy. 5 (Nisan 2006): 89-101.
EndNote Akyüz-daşcıoğlu HÇ-yA, Çerdik-yasla H (01 Nisan 2006) Chebyshev Polynomial Solution of Nonlinear Fredholm-Volterra IntegroDifferential Equations. Cankaya University Journal of Arts and Sciences 1 5 89–101.
IEEE H. Ç.-y. A. . Akyüz-daşcıoğlu ve H. Çerdik-yasla, “Chebyshev Polynomial Solution of Nonlinear Fredholm-Volterra IntegroDifferential Equations”, Cankaya University Journal of Arts and Sciences, c. 1, sy. 5, ss. 89–101, 2006.
ISNAD Akyüz-daşcıoğlu, Handan Çerdik-yaslan, Ayşegül - Çerdik-yasla, Handann. “Chebyshev Polynomial Solution of Nonlinear Fredholm-Volterra IntegroDifferential Equations”. Cankaya University Journal of Arts and Sciences 1/5 (Nisan 2006), 89-101.
JAMA Akyüz-daşcıoğlu HÇ-yA, Çerdik-yasla H. Chebyshev Polynomial Solution of Nonlinear Fredholm-Volterra IntegroDifferential Equations. Cankaya University Journal of Arts and Sciences. 2006;1:89–101.
MLA Akyüz-daşcıoğlu, Handan Çerdik-yaslan, Ayşegül ve Handann Çerdik-yasla. “Chebyshev Polynomial Solution of Nonlinear Fredholm-Volterra IntegroDifferential Equations”. Cankaya University Journal of Arts and Sciences, c. 1, sy. 5, 2006, ss. 89-101.
Vancouver Akyüz-daşcıoğlu HÇ-yA, Çerdik-yasla H. Chebyshev Polynomial Solution of Nonlinear Fredholm-Volterra IntegroDifferential Equations. Cankaya University Journal of Arts and Sciences. 2006;1(5):89-101.