@Article{JCM-34-5,
author = {Lu, Fuqiang and Zhiyao, Song and Zhuo, Zhang},
title = {A Compact Fourth-Order Finite Difference Scheme for the Improved Boussinesq Equation with Damping Terms},
journal = {Journal of Computational Mathematics},
year = {2016},
volume = {34},
number = {5},
pages = {462--478},
abstract = {<p style="text-align: justify;">In this paper, a compact finite difference method is presented for solving the initial boundary value problems for the improved Boussinesq equation with damping terms. The fourth-order equation can be transformed into a first-order ordinary differential system, and then, the classical Padé approximation is used to discretize spatial derivative in the nonlinear partial differential equations. The resulting coefficient matrix for the semi-discrete scheme is tri-diagonal and can be solved efficiently. In order to maintain the same order of convergence, the classical fourth-order Runge-Kutta method is the preferred method for explicit time integration. Soliton-type solutions are used to evaluate the accuracy of the method, and various numerical experiments are designed to test the different effects of the damping terms.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1603-m2014-0193},
url = {https://global-sci.com/article/84567/a-compact-fourth-order-finite-difference-scheme-for-the-improved-boussinesq-equation-with-damping-terms}
}