Integration Method with Orthogonal Polynomials

被引：0

作者：

Sanprasert, Wannaporn ^{[1
]}

Chundang, Ungsana ^{[1
]}

Podisuk, Maitree ^{[2
]}

机构：

[1] King Mongkuts Univ Technol Thonburi, Bangmod Bangkok 10140, Thailand

[2] Kasem Bundit Univ, Bangkok 10250, Thailand

来源：

PROCEEDINGS OF THE 8TH WSEAS INTERNATIONAL CONFERENCE ON APPLIED COMPUTER AND APPLIED COMPUTATIONAL SCIENCE: APPLIED COMPUTER AND APPLIED COMPUTATIONAL SCIENCE | 2009年

关键词：

Gauss-Quadrature-formula; Integration-method; Initial-value-problem; Orthogonal-polynomial; Taylor series expansion; Newton-Divided-Difference-method;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In [1], M. Podisuk and W. Sanprasert introduced the integration method for finding the numerical solution of the initial value problem of ordinary differential equation. In this paper, we will use this integration method to find the numerical solution of the initial value problem of ordinary differential equation with contains the singular point in its domain. To solve this problem we will construct the sequences of orthogonal polynomials to use them with the Gauss Quadrature integration formulas. We also use the Taylor series expansion of sixth order to compute the needed values in the integral formulas. The results which obtained by using the C programming language are illustrated.

引用

页码：100 / +

页数：2