B. KARAAGAC

5044

A NUMERICAL APPROACH TO CAUDREY DODD GIBBON EQUATION VIA COLLOCATION METHOD USING QUINTIC B-SPLINE BASIS

In this manuscript, a numerical approach is investigated to Caudrey-Dodd- Gibbon CDG equation. The nonlinear CDG equation is reduced to a system of partial dierential equation using uxxx = v. The new numerical solutions are obtained with a combination of collocation method with nite element method which is one of the most important methods among all numerical approaches. In order to proceed the method, solution for each unknown is written as a linear combination of time parameters and quintic B-spline basis. Then, with the advantage of the collocation method, a system of algebraic equation systems is formulated easily. Solving the system iteratively by a method results in numerical solutions of the CDG equation. The numerical solutions together with the error norms L2;L1 are tabulated. Additionally, graphical simulations of the solutions are depicted by gures.
Keywords:

Finite element method, collocation, quintic B-spline basis Caudrey-Dodd- Gibbon equation.,

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TWMS Journal of Applied and Engineering Mathematics-Cover
  • ISSN: 2146-1147
  • Başlangıç: 2010
  • Yayıncı: Turkic World Mathematical Society
Arşiv
Sayıdaki Diğer Makaleler

Ahmet Ocak AKDEMİR, Erhan SET, Alper EKİNCİ

M. I. YAZAR, C. G. ARAS, S. BAYRAMOV

S. EKER

M. Emin ÖZDEMİR, Ahmet OCAK AKDEMİR

A. ERGUN, R. Kh. AMİROV

İrem BAĞLAN

E. TOKLU

Mehmet Eyup KIRIS, Hasan KARA

Evrim GÜVEN

T. ONER, T. KATICAN, A. ÜLKER