NUMERICAL ANALYSIS OF FRACTIONAL-ORDER EMDEN–FOWLER EQUATIONS USING MODIFIED VARIATIONAL ITERATION METHOD

Ri Zhang (), Nehad Ali Shah, Essam R. El-Zahar (), AKGÃœL Ali and Jae Dong Chung
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Ri Zhang: School of Civil Engineering and Architecture, Northeast Electric Power University, Jilin 132012, P. R. China
Nehad Ali Shah: ��Department of Mechanical Engineering, Sejong University, Seoul 05006, South Korea
Essam R. El-Zahar: ��Department of Mathematics, College of Science and Humanities, Al-Kharj Prince Sattam bin Abdulaziz University, P. O. Box 83, Al-Kharj 11942, Saudi Arabia
AKGÜL Ali: �Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon¶Department of Mathematics, Art and Science Faculty, Siirt University, 56100 Siirt, Turkey∥Department of Mathematics, Mathematics Research Center, Near East University, Near East Boulevard, 99138, Nicosia/Mersin 10, Turkey
Jae Dong Chung: ��Department of Mechanical Engineering, Sejong University, Seoul 05006, South Korea

FRACTALS (fractals), 2023, vol. 31, issue 02, 1-15

Abstract: 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.

Keywords: Variational Iteration Method; Shehu Transform; Fractional-Order Emden–Fowler Equations; Caputo Derivative (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23400285

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