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بدر بن سعد بن ذعار القحطاني

Associate Professor

وكيل عمادة البحث العلمي -الأستاذ المشارك بقسم الرياضيات

كلية العلوم
كلية العلوم - قسم الرياضيات 2A178

A new numerical scheme based on Newton polynomial with application to Fractional nonlinear differential equations

T.), Alkahtani, BST (Alkahtani, Badr Saad . 2020

Very recently, a new numerical scheme was introduced. The numerical scheme was developed using the Newton polynomial, as it is known to be more accurate than the Lagrange polynomial that was used to generate the well-known Adams-Bashforth scheme. The numerical method has been revealed very accurate in both cases classical and fractional differential equations. We further apply in this paper, this new numerical scheme for some chaotic problems to see the stability and access it accuracy.

Issue Number
59
Magazine \ Newspaper
ALEXANDRIA ENGINEERING JOURNAL
Pages
1893-1907
more of publication
publications

Very recently, a new numerical scheme was introduced. The numerical scheme was developed using the Newton polynomial, as it is known to be more accurate than the Lagrange polynomial that was used…

by Alkahtani, BST (Alkahtani, Badr Saad T.)
2020
publications

Based on the Newton polynomial which is accurate than the Lagrange polynomial, a new numerical scheme was introduced very recently by Atangana and Seda. Their method consisted in reverting a…

by Badr Saad T.Alkahtani, Sara SalemAlzaid
2020
publications

A new concept of dynamical system of predator-prey model is presented in this paper. The model takes into account the memory of interaction between the prey and predator due to the inclusion of…

by Alkahtani, Badr Saad T.; Koca, Ilknur
2020