广义Abel方程的Gauss数值积分法

计算物理 ›› 1997, Vol. 14 ›› Issue (S1): 443-444,442.

广义Abel方程的Gauss数值积分法

母英魁¹, 王毅², 丁培柱³

1. 长春金融管理干部学院, 130031;
2. 吉林大学数学系, 长春 130023;
3. 吉林大学原子分子所, 长春 130023

收稿日期:1997-03-03 修回日期:1997-04-17 出版日期:1997-12-25 发布日期:1997-12-25
基金资助:
国家自然科学基金和攀登计划项目LSEC资助课题

GAUSS NUMERICAL INTEGRATION FOR SOLVING THE GENERALIZED ABEL EQUATION

Mu Yingku¹, Wang Yi², Ding Peizhu³

1. Changchun Finance Manager Collage, 130031;
2. Department of Mathematics, Changchun 130023;
3. Institute of Atomic and Molecular Physics, Changchun 130023

Received:1997-03-03 Revised:1997-04-17 Online:1997-12-25 Published:1997-12-25

摘要/Abstract

摘要： 采用Gaus数值积分法将光学厚柱对称等离子体径向发射系数的广义Abel方程离散成系数是上三角矩阵的线性代数方程组,计算特别简单、省时间,具有2阶精度。

关键词: Gauss数值积分法, 光学厚柱对称等离子体径向发射系数, 广义Abel方程

Abstract: Gauss numerical integration is applied to compute the radial emission coefficients in Optically-Thick,Cylindrically-Symmetric Plasmas.Using the integration,the generalized Abel equation is separated into a system of linear algebraic equations and the coefficient matrix of the system is an upper triangular matrix,so the interpolation,which has second order of accuracy,is very simple to compute and less computation time is required.

Key words: Gauss numerical integration, Generalized Abel equation

中图分类号:

O241.4
O53

母英魁, 王毅, 丁培柱. 广义Abel方程的Gauss数值积分法[J]. 计算物理, 1997, 14(S1): 443-444,442.

Mu Yingku, Wang Yi, Ding Peizhu. GAUSS NUMERICAL INTEGRATION FOR SOLVING THE GENERALIZED ABEL EQUATION[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 14(S1): 443-444,442.

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