摘要
利用Legendre-Gauss-Lobatto节点为配置点,构造Burgers方程初边值问题的时空Legendre谱配置格式。即在时间和空间方向都用Lagrange插值多项式将其化为非线性方程组,数值实验证明了所提算法格式的有效性和高精度。
A Legendre spectral collocation scheme is constructed for Burgers equation by using the Legendre collocation method in time and space, which is a nonlinear system using Lagrange interpolation polynomials. Numerical results demonstrate the efficiency and high accuracy of the proposed algorithm.
出处
《应用数学进展》
2021年第4期1380-1386,共7页
Advances in Applied Mathematics
