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
- Akın Ö, Oruc¸ Ö. A prey-predator model with fuzzy initial values. Hacet J Math Stat 2012; 41: 387-395.
- 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.
- 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.
- Allahviranloo T, KhezerlooM, GhanbariM, Khezerloo S. The homotopy perturbation method for fuzzy Volterra inetgral equations. Intern J Comp Cogn 2010; 8: 31-37.
- 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.
- Bede B. A note on ”Two-point boundary value problems associated with nonlinear fuzzy diffential equations”. Fuzzy Set Syst 2006; 157: 986-989.
- 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.
- 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
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Bölüm
Araştırma Makalesi
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Türkiye
Yayımlanma Tarihi
1 Temmuz 2017
Gönderilme Tarihi
21 Şubat 2017
Kabul Tarihi
15 Temmuz 2017
Yayımlandığı Sayı
Yıl 1970 Cilt: 5 Sayı: 3