摘要
针对KDV方程提出了一类有限体积方法,空间上基于非均匀网格采用二次B样条有限体积近似,时间上结合Crank-Nicolson离散格式和二阶外插公式,格式保证了动量的局部守恒,并且具有较高的计算效率.本文最后给出了一些典型算例.
We develop a kind of finite volume method for the KDV equation. The space discretization is based on quadratic B-spline finite elements on non-uniform meshes,while the temporal discretization combines the Crank-Nicolson scheme with a second-order extrapolation. Our finite volume scheme ensures the local conservation of momentum,and posseses high efficiency and accuracy. Some benchmark examples are tested.
出处
《烟台大学学报（自然科学与工程版）》
CAS
2016年第3期157-162,共6页
Journal of Yantai University(Natural Science and Engineering Edition)
基金
国家自然科学基金资助项目(11301456)
