泊松方程第一边值问题的谱配置方法
Spectral Collocation Method for Poisson Equation First Side Value Problem
DOI: 10.12677/aam.2024.135194, PDF,   
作者: 张雅津, 魏金涛：河南科技大学数学与统计学院，河南 洛阳
关键词: 泊松方程；谱配置法；Legendre多项式；Poisson Equations； Spectral Collocation Method； Legendre Polynomial
摘要: 以Legendre-Gauss-Lobatto节点为配置点，利用Legendre多项式建立谱配置格式求解具有第一边值问题的泊松方程，给出算法格式，通过数值运算表明算法格式的有效性和高精度。
Abstract: Using Legendre-Gauss-Lobatto nodes as configuration points, a spectral collocation scheme is established using Legendre polynomials to solve Poisson’s equation with first boundary value problems. The algorithm format is given, and the effectiveness and high accuracy of the algorithm format are demonstrated through numerical operations.
文章引用：张雅津, 魏金涛. 泊松方程第一边值问题的谱配置方法[J]. 应用数学进展, 2024, 13(5): 2069-2077. https://doi.org/10.12677/aam.2024.135194

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