Scopus
🔓 Açık Erişim YÖKSİS DOI Eşleşti
SJR -
The approximate solution of high-order linear fractional differential equations with variable coefficients in terms of generalized taylor polynomials
Mathematical and Computational Applications · Ocak 2011
YÖKSİS Kayıtları
The Approximate Solution of High-Order Linear Fractional Differential Equations with Variable Coefficients in Terms of Generalized Taylor Polynomials
Mathematical and Computational Applications · 2011 SCI-Expanded
Dr. Öğr. Üyesi SEMA SERVİ →
YÖKSİS Kayıtları — ISSN Eşleşmesi
Boolean Functions Simplification Algorithm of O n Complexity
2003 ISSN: 1300-686X EI
Prof. Dr. FATİH BAŞÇİFTÇİ →
Solution Of The System Of Ordinary Differential Equations By Combined Laplace Transform Adomian Decomposition Method
2012 ISSN: 1300-686X MathSciNet
Prof. Dr. NURETTİN DOĞAN →
The Differential Transformation Method and Pade Approximant for a Form of Blasius Equation
2011 ISSN: 1300-686X IET-AMS
Dr. Öğr. Üyesi ONUR KARAOĞLU →
The Approximate Solution of High-Order Linear Fractional Differential Equations with Variable Coefficients in Terms of Generalized Taylor Polynomials
2011 ISSN: 1300-686X IET-AMS
Dr. Öğr. Üyesi ONUR KARAOĞLU →
Makale Bilgileri
ISSN1300686X
Yayın TarihiOcak 2011
Cilt / Sayfa16 · 617-629
Scopus ID2-s2.0-79953299307
Erişim🔓 Açık Erişim
Özet
In this paper, we have developed a new method called Generalized Taylor collocation method (GTCM), which is based on the Taylor collocation method, to give approximate solution of linear fractional differential equations with variable coefficients. Using the collocation points, this method transforms fractional differential equation to a matrix equation which corresponds to a system of linear algebraic equations with unknown Generalized Taylor coefficients. Generally, the method is based on computing the Generalized Taylor coefficients by means of the collocation points. This method does not require any intensive computation. Moreover, It is easy to write computer codes in any symbolic language. Hence, the proposed method can be used as effective alternative method for obtaining analytic and approximate solutions for fractional differential equations. The effectiveness of the proposed method is illustrated with some examples. The results show that the method is very effective and convenient in predicting the solutions of such problems. © Association for Scientific Research.
Yazarlar (4)
1
Yildiray Keskin
2
Onur Karaoǧlu
3
Sema Servi
4
Galip Oturanç
Anahtar Kelimeler
Adomian decomposition method
Fractional differential equation
Fractional differential transformation method
Homotopy perturbation method
Taylor collocation method
Variational iteration method
Kurumlar
Selçuk Üniversitesi
Selçuklu Turkey
Scimago Dergi (ISSN Eşleşmesi)
Mathematical and Computational Applications
-
OA
H-Index38
YayıncıMultidisciplinary Digital Publishing Institute (MDPI)
ÜlkeSwitzerland
Applied Mathematics
Computational Mathematics
Engineering (miscellaneous)
Metrikler
25
Atıf
4
Yazar
6
Anahtar Kelime