摘要
取分段二次多项式作为试探函数 ,分段一次多项式作为检验函数 ,基于变分原理导出 RLW方程的全离散计算格式 ,给出格式的收敛阶 ,利用导出的格式计算 RLW方程的单个孤立子传播及两个孤立子相碰的现象。
In this paper, we take picewise polynomials of order 2 as trial functions and picewise polynomials of order 1 as test functions, and construct a fully discrete scheme for solving the initial and boundary value problem for RLW equation based on variational principle, then we give the convergence order of schemes, finally calculate the travel of a soliton and collision of two solitons by using the fully discrete scheme.
出处
《佛山科学技术学院学报(自然科学版)》
CAS
2001年第2期5-7,共3页
Journal of Foshan University(Natural Science Edition)