A Fourth Order One Step Method for Numerical Solution of Good Boussinesq Equation

Authors

EMRE KIRLI
DURSUN IRK

DOI

10.3906/mat-2105-18

Abstract

In this paper, we investigate the numerical solution of "good" Boussinesq equation by using the quartic B-spline Galerkin method for space discretization and the fourth order one-step method for time discretization.The proposed numerical scheme is analyzed for truncation error. Four test problems are studied. The accuracy and efficiency are measured by computing error norm $L_{\infty }$ and the order of convergence for the proposed method. The results of numerical experiments confirm that the proposed method has a higher accuracy.

Keywords

B-spline, Galerkin method, soliton, good Boussinesq equation

First Page

2154

Last Page

2170

Recommended Citation

KIRLI, EMRE and IRK, DURSUN (2021) "A Fourth Order One Step Method for Numerical Solution of Good Boussinesq Equation," Turkish Journal of Mathematics: Vol. 45: No. 5, Article 19. https://doi.org/10.3906/mat-2105-18
Available at: https://journals.tubitak.gov.tr/math/vol45/iss5/19