| Autor: |
Karaagac, B., Esen, A., Owolabi, K. M., Pindza, E. |
| Zdroj: |
Numerical Analysis & Applications; Sep2023, Vol. 16 Issue 3, p216-228, 13p |
| Abstrakt: |
This paper considers an effective numerical collocation method for numerical solution of the KdV–Kawahara equation. This numerical method relies on a finite element formulation and spline interpolation with a trigonometric quintic B-spline basis. First, the KdV–Kawahara equation is reduced to a coupled equation via an auxiliary variable of the form . The collocation method is then applied to the coupled equation together with the forward difference and the Crank–Nicholson formula. This results in a system of algebraic equations in terms of time variables with the trigonometric quintic B-spline basis. For determination of the error between the numerical and exact solutions, the error norms and are calculated. The results are illustrated by two numerical examples with their graphical representation and comparison with other methods. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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