高斯型径向基函数的切比雪夫配点法  

Chebyshev collocation method for Gaussian radial basis function

作　　者：郭玄玄 王福章[1] GUO Xuanxuan;WANG Fuzhang(School of Mathematical Sciences,Huaibei Normal University,Huaibei,Anhui 235000,China)

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《湖南城市学院学报（自然科学版）》2021年第1期51-53,共3页Journal of Hunan City University:Natural Science

基　　金：安徽省自然科学基金项目(1908085QA09);安徽省高校自然科学研究项目(KJ2019A0591)。

摘　　要：在数值模拟过程中,利用切比雪夫节点代替传统的均匀配点,用高斯型径向基函数方法求解椭圆型偏微分方程边值问题.数值模拟结果表明,基于切比雪夫节点的高斯型径向基函数数值模拟椭圆型偏微分方程边值问题能提高径向基函数的数值模拟精度,可以改进边界处的数值模拟误差.In the process of numerical simulation,Chebyshev collocation points are introduced to substitute the traditional uniform collocation points,and the Gaussian radial basis function method is used to solve the boundary value problems of the elliptic partial differential equations.The results of numerical simulation show that numerical simulation of Gaussian radial basis function based on Chebyshev node the boundary value problem of elliptic partial differential equation can improve the accuracy of numerical simulation of radial basis function,and the numerical simulation errors at the boundary.

关 键 词：径向基函数 偏微分方程 无网格法 数值模拟 高斯函数 

分 类 号：O242.1[理学—计算数学]