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Bernoulli collocation method for high-order generalized pantograph equations
Abstract
In this paper, an approximate method based on Bernoulli polynomials has been presented to obtain the solution ofgeneralized pantograph equations with linear functional arguments. Both initial and boundary value problems have been solved by thiscollocation technique. Approximate solution can also be corrected with the residual function. Some numerical examples have beengiven to illustrate the reliability and efficiency of the method
Keywords
Kaynakça
- J.R. Ockendon, A.B. Tayler, The dynamics of a current collection system for an electric locomotive, Proc. Roy. Soc. London, Ser.
- A 322 (1971) 447-468.
- L. Fox, D.F. Mayers, J.A. Ockendon, A.B. Tayler, On a functional differential equation, J. Inst. Math. Appl. 8 (1971) 271-307.
- W.G. Ajello, H.I. Freedman, J.Wu, A model of stage structured population growth with density depended time delay, SIAM J.
- Appl. Math. 52 (1992) 855-869.
- M.D. Buhmann, A. Iserles, Stability of the discretized pantograph differential equation, Math. Comput. 60 (1993) 575-589.
- G.R. Morris, A. Feldstein, E.W. Bowen, The Phragmen-Lindel’ of principle and a class of functional-differential equations, in:
- Proceedings of NRL-MRC Conference on Ordinary Differential Equations, 1972, pp. 513-540.
Ayrıntılar
Birincil Dil
Türkçe
Konular
-
Bölüm
-
Yayımlanma Tarihi
19 Ocak 2015
Gönderilme Tarihi
13 Mart 2015
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2015 Cilt: 3 Sayı: 2
APA
Daşçıoğlu, A., & Sezer, M. (2015). Bernoulli collocation method for high-order generalized pantograph equations. New Trends in Mathematical Sciences, 3(2), 96-109. https://izlik.org/JA25XS58RU
AMA
1.Daşçıoğlu A, Sezer M. Bernoulli collocation method for high-order generalized pantograph equations. New Trends in Mathematical Sciences. 2015;3(2):96-109. https://izlik.org/JA25XS58RU
Chicago
Daşçıoğlu, Ayşegül, ve Mehmet Sezer. 2015. “Bernoulli collocation method for high-order generalized pantograph equations”. New Trends in Mathematical Sciences 3 (2): 96-109. https://izlik.org/JA25XS58RU.
EndNote
Daşçıoğlu A, Sezer M (01 Ocak 2015) Bernoulli collocation method for high-order generalized pantograph equations. New Trends in Mathematical Sciences 3 2 96–109.
IEEE
[1]A. Daşçıoğlu ve M. Sezer, “Bernoulli collocation method for high-order generalized pantograph equations”, New Trends in Mathematical Sciences, c. 3, sy 2, ss. 96–109, Oca. 2015, [çevrimiçi]. Erişim adresi: https://izlik.org/JA25XS58RU
ISNAD
Daşçıoğlu, Ayşegül - Sezer, Mehmet. “Bernoulli collocation method for high-order generalized pantograph equations”. New Trends in Mathematical Sciences 3/2 (01 Ocak 2015): 96-109. https://izlik.org/JA25XS58RU.
JAMA
1.Daşçıoğlu A, Sezer M. Bernoulli collocation method for high-order generalized pantograph equations. New Trends in Mathematical Sciences. 2015;3:96–109.
MLA
Daşçıoğlu, Ayşegül, ve Mehmet Sezer. “Bernoulli collocation method for high-order generalized pantograph equations”. New Trends in Mathematical Sciences, c. 3, sy 2, Ocak 2015, ss. 96-109, https://izlik.org/JA25XS58RU.
Vancouver
1.Ayşegül Daşçıoğlu, Mehmet Sezer. Bernoulli collocation method for high-order generalized pantograph equations. New Trends in Mathematical Sciences [Internet]. 01 Ocak 2015;3(2):96-109. Erişim adresi: https://izlik.org/JA25XS58RU