Atıf İçin Kopyala
Karaagac B., Esen A., Owolabi K. M., Pindza E.
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, cilt.34, sa.07, ss.1-16, 2023 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
34
Sayı:
07
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Basım Tarihi:
2023
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Doi Numarası:
10.1142/s0129183123500961
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Dergi Adı:
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, zbMATH
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Sayfa Sayıları:
ss.1-16
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İnönü Üniversitesi Adresli:
Evet
Özet
This paper focuses on numerical solutions of time fractional nonlinear Korteweg–de Vries–Burgers equation formulated with Caputo’s fractional derivative. For this purpose, a framework of combinations of collocation method with the finite-element method is provided using trigonometric quintic B-spline basis. The method consists of both spatial discretization and temporal discretization using approximate solution and Crank–Nicolson approach. Discretizing fractional derivative is made using [Formula: see text] algorithm which is derived from the definition of Caputo derivative using an approximate function. The stability analysis is established using von-Neumann stability technique. The numerical results obtained using the collocation method are presented via tables and graphics. The novel results demonstrate the efficiency and reliability of the method.