NUMERICAL ANALYSIS OF FRACTIONAL-ORDER EMDEN-FOWLER EQUATIONS USING MODIFIED VARIATIONAL ITERATION METHOD
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This work aims at a new semi-analytical method called the variational iteration transform method for investigating fractional-order Emden-Fowler equations. The Shehu transformation and the iterative method are applied to achieve the solution of the given problems. The proposed method has the edge over other techniques as it does not required extra calculations. Some numerical problems are used to test the validity of the suggested method. The solution obtained has demonstrated that the proposed technique has a higher level of accuracy. The proposed method is capable of tackling various nonlinear fractional-order problems due to its simple implementation.
Açıklama
Anahtar Kelimeler
Variational Iteration Method, Shehu Transform, Fractional-Order Emden-Fowler Equations, Caputo Derivative
Kaynak
Fractals-Complex Geometry Patterns and Scaling in Nature and Society
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
31
Sayı
2