Araştırma Makalesi

Approximate solution of second-order fuzzy boundary value problem

Cilt: 5 Sayı: 3 1 Temmuz 2017
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Approximate solution of second-order fuzzy boundary value problem

Abstract

In this paper, a new approach is proposed based on the Adomian Decomposition Method(ADM) with Green's function in order to find a solution for the second-order fuzzy boundary value problem under generalized H-differentiability. The proposed technique divides the domain and builds on Green's function before installing the modified recursive scheme. Some examples are presented to illustrate the efficiency of the proposed technique.

Keywords

Kaynakça

  1. Akın Ö, Oruc¸ Ö. A prey-predator model with fuzzy initial values. Hacet J Math Stat 2012; 41: 387-395.
  2. Allahviranloo T, Abbasbandy S, Sedaghgatfar O, Darabi P. A new method for solving fuzzy integro-differential equation under generalized differentiability. Neural Comput Appl 2012; 1: 191-196.
  3. Allahviranloo T, Amirteimoori A, Khezerloo M, Khezeloo S. A new method for solving fuzzy Volterra integro-differential equations. Aust J Basic Appl Sci 2011; 5: 154-164.
  4. Allahviranloo T, KhezerlooM, GhanbariM, Khezerloo S. The homotopy perturbation method for fuzzy Volterra inetgral equations. Intern J Comp Cogn 2010; 8: 31-37.
  5. Babolian E, Sadeghi G. H, Abbasbandy S. Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method. Appl Math Comput 2005; 161: 733-744.
  6. Bede B. A note on ”Two-point boundary value problems associated with nonlinear fuzzy diffential equations”. Fuzzy Set Syst 2006; 157: 986-989.
  7. Bede B, Gal S. G. Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations. Fuzzy Set Syst 2005; 151: 581-599.
  8. Behzadi S. S, Allahviranloo T, Abbasbandy S. Solving fuzzy second-order nonlinear Volterra-Fredholm integro-differential equqtions by using Picard method. Neural Comput Appl 2012; 1: 337-346.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

1 Temmuz 2017

Gönderilme Tarihi

21 Şubat 2017

Kabul Tarihi

15 Temmuz 2017

Yayımlandığı Sayı

Yıl 1970 Cilt: 5 Sayı: 3

Kaynak Göster

APA
Bayrak, M. A. (2017). Approximate solution of second-order fuzzy boundary value problem. New Trends in Mathematical Sciences, 5(3), 7-21. https://izlik.org/JA27BG97MG
AMA
1.Bayrak MA. Approximate solution of second-order fuzzy boundary value problem. New Trends in Mathematical Sciences. 2017;5(3):7-21. https://izlik.org/JA27BG97MG
Chicago
Bayrak, Mine Aylin. 2017. “Approximate solution of second-order fuzzy boundary value problem”. New Trends in Mathematical Sciences 5 (3): 7-21. https://izlik.org/JA27BG97MG.
EndNote
Bayrak MA (01 Temmuz 2017) Approximate solution of second-order fuzzy boundary value problem. New Trends in Mathematical Sciences 5 3 7–21.
IEEE
[1]M. A. Bayrak, “Approximate solution of second-order fuzzy boundary value problem”, New Trends in Mathematical Sciences, c. 5, sy 3, ss. 7–21, Tem. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA27BG97MG
ISNAD
Bayrak, Mine Aylin. “Approximate solution of second-order fuzzy boundary value problem”. New Trends in Mathematical Sciences 5/3 (01 Temmuz 2017): 7-21. https://izlik.org/JA27BG97MG.
JAMA
1.Bayrak MA. Approximate solution of second-order fuzzy boundary value problem. New Trends in Mathematical Sciences. 2017;5:7–21.
MLA
Bayrak, Mine Aylin. “Approximate solution of second-order fuzzy boundary value problem”. New Trends in Mathematical Sciences, c. 5, sy 3, Temmuz 2017, ss. 7-21, https://izlik.org/JA27BG97MG.
Vancouver
1.Mine Aylin Bayrak. Approximate solution of second-order fuzzy boundary value problem. New Trends in Mathematical Sciences [Internet]. 01 Temmuz 2017;5(3):7-21. Erişim adresi: https://izlik.org/JA27BG97MG