一维Sobolev方程的重心插值配点法
Barycentric Interpolation Collocation Method for One-Dimensional Sobolev Equation
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。
Abstract: 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.
文章引用：武莉莉, 卢梦双. 一维Sobolev方程的重心插值配点法[J]. 理论数学, 2020, 10(10): 938-943. https://doi.org/10.12677/PM.2020.1010109

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