摘要
本文使用重心Lagrange插值配点法求解一维Sobolev方程的数值解,分别采用等距节点和Chebyshev节点进行数值计算。实验结果表明:在使用重心Lagrange插值求解一维Sobolev方程的数值解时,采用第二类Chebyshev节点可取得更高精度的数值解。
This paper uses the center of gravity Lagrange interpolation method to solve the numerical solution of the one-dimensional Sobolev equation. Equidistant nodes and Chebyshev nodes are used for numerical calculation. The experimental results show that: when using the center of gravity Lagrange interpolation to solve the numerical solution of the one-dimensional Sobolev equation, using the second type of Chebyshev node can obtain a higher precision numerical solution.
出处
《理论数学》
2020年第10期938-943,共6页
Pure Mathematics
