A new collocation method for solution of mixed linear Integro-differential difference equations

Cilt: 3 Sayı: 2 19 Ocak 2015
  • Burcu Gürbüz
  • Berna Bülbül Aslan
  • Mehmet Sezer
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EN

A new collocation method for solution of mixed linear Integro-differential difference equations

Öz

The aim of this article is to present an efficient numerical procedure for solving mixed linear integro-differential-differenceequations. Our method depends mainly on a Taylor expansion approach. This method transforms mixed linear integro-differentialdifference equations and the given conditions into matrix equation which corresponds to a system of linear algebraic equation. Thereliability and effiency of the proposed scheme are demonstrated by some numerical experiments and performed on the computerprogram in Maple10

Anahtar Kelimeler

Kaynakça

  1. S. Yalc¸ınbas¸, Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations, Appl. Math. Comput. 127 (2002)196- 20
  2. M. G¨ulsu, M. Sezer, On the solution of the Riccati equation by the Taylor matrix method, Appl. Math. Comput. 188 (2007) 446-4
  3. M. Sezer, Taylor polynomial solution of Volterra integral equations, Int. J. Math. Educ. Sci. Technol. 25 (5) (1994) 625-633.
  4. M. Sezer, M. G¨ulsu, A new polynomial approach for solving difference and Fredholm integro-difference equations with mixed argument, Appl. Math. Comput. 171 (2005) 332-344.
  5. S. Yalc¸ınbas¸, M. Sezer, The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials, Appl. Math. Comput. 112 (2000) 291-308.
  6. M. Sezer, A method for approximate solution of the second order linear differential equations in terms of Taylor polynomials, Int. J. Math. Educ. Sci. Technol. 27 (6) (1996) 821-834.
  7. S¸. Nas, S. Yalc¸ınbas¸, M. Sezer, A method for approximate solution of the high-order linear Fredholm integro-differential equations, Int. J. Math. Educ. Sci. Technol. 27 (6) (1996) 821-834.
  8. A. Karamete, M. Sezer, A Taylor collocation method for the solution of linear integro-differential equations, Int. J. Comput. Math. 79 (9) (2002) 987-1000.

Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

-

Yazarlar

Burcu Gürbüz Bu kişi benim

Berna Bülbül Aslan Bu kişi benim

Mehmet Sezer Bu kişi benim

Yayımlanma Tarihi

19 Ocak 2015

Gönderilme Tarihi

13 Mart 2015

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2015 Cilt: 3 Sayı: 2

Kaynak Göster

APA
Gürbüz, B., Aslan, B. B., & Sezer, M. (2015). A new collocation method for solution of mixed linear Integro-differential difference equations. New Trends in Mathematical Sciences, 3(2), 133-146. https://izlik.org/JA37JK89CS
AMA
1.Gürbüz B, Aslan BB, Sezer M. A new collocation method for solution of mixed linear Integro-differential difference equations. New Trends in Mathematical Sciences. 2015;3(2):133-146. https://izlik.org/JA37JK89CS
Chicago
Gürbüz, Burcu, Berna Bülbül Aslan, ve Mehmet Sezer. 2015. “A new collocation method for solution of mixed linear Integro-differential difference equations”. New Trends in Mathematical Sciences 3 (2): 133-46. https://izlik.org/JA37JK89CS.
EndNote
Gürbüz B, Aslan BB, Sezer M (01 Ocak 2015) A new collocation method for solution of mixed linear Integro-differential difference equations. New Trends in Mathematical Sciences 3 2 133–146.
IEEE
[1]B. Gürbüz, B. B. Aslan, ve M. Sezer, “A new collocation method for solution of mixed linear Integro-differential difference equations”, New Trends in Mathematical Sciences, c. 3, sy 2, ss. 133–146, Oca. 2015, [çevrimiçi]. Erişim adresi: https://izlik.org/JA37JK89CS
ISNAD
Gürbüz, Burcu - Aslan, Berna Bülbül - Sezer, Mehmet. “A new collocation method for solution of mixed linear Integro-differential difference equations”. New Trends in Mathematical Sciences 3/2 (01 Ocak 2015): 133-146. https://izlik.org/JA37JK89CS.
JAMA
1.Gürbüz B, Aslan BB, Sezer M. A new collocation method for solution of mixed linear Integro-differential difference equations. New Trends in Mathematical Sciences. 2015;3:133–146.
MLA
Gürbüz, Burcu, vd. “A new collocation method for solution of mixed linear Integro-differential difference equations”. New Trends in Mathematical Sciences, c. 3, sy 2, Ocak 2015, ss. 133-46, https://izlik.org/JA37JK89CS.
Vancouver
1.Burcu Gürbüz, Berna Bülbül Aslan, Mehmet Sezer. A new collocation method for solution of mixed linear Integro-differential difference equations. New Trends in Mathematical Sciences [Internet]. 01 Ocak 2015;3(2):133-46. Erişim adresi: https://izlik.org/JA37JK89CS