Numerical Solution of the Modified Equal Width Wave Equation
Numerical Solution of the Modified Equal Width Wave Equation
复制标题
修正等宽波动方程的数值解
DOI：
10.1155/2012/587208
复制
发表时间：
2012
影响因子：
1.6
通讯作者：
T. Geyikli
中科院分区：
文献类型：
--
作者：
S. B. G. Karakoç;T. Geyikli
采用基于三次b样条有限元法的集总伽辽金方法，得到了修正等宽波动方程的数值解。用该方法研究了孤立波运动和两个孤立波的相互作用。通过计算数值守恒定律，讨论了所提方法的准确性。2和？∞误差范数。数值结果与精确解吻合较好。对该方案进行了线性稳定性分析。
Numerical solution of the modified equal width wave equation is obtained by using lumped Galerkin method based on cubic B-spline finite element method. Solitary wave motion and interaction of two solitary waves are studied using the proposed method. Accuracy of the proposed method is discussed by computing the numerical conserved laws ?2 and ?∞ error norms. The numerical results are found in good agreement with exact solution. A linear stability analysis of the scheme is also investigated.