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

Künye