Laguerre-Gauss collocation method for initial value problems of second order ODEs

YAN Jian-Ping;GUO Ben-Yu

doi:10.1007/s10483-011-1522-x

Applied Mathematics and Mechanics >

2011 , Vol. 32 >Issue 12: 1541 - 1564

DOI: https://doi.org/10.1007/s10483-011-1522-x

Articles

Laguerre-Gauss collocation method for initial value problems of second order ODEs

Expand

1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China;
2. Department of Applied Mathematics, Guangdong University of Finance, Guangzhou 510521, P. R. China;
3. Scientific Computing Key Laboratory of Shanghai Universities, Shanghai 200234, P. R. China;
4. Division of Computational Science of E-institute of Shanghai Universities, Shanghai 200234, P. R. China

Received date: 2011-04-25

Revised date: 2011-09-03

Online published: 2011-12-01

Fold

Abstract

This paper proposes a new collocation method for initial value problems of second order ODEs based on the Laguerre-Gauss interpolation. It provides the global numerical solutions and possesses the spectral accuracy. Numerical results demonstrate its high efficiency.

Cite this article

YAN Jian-Ping;GUO Ben-Yu . Laguerre-Gauss collocation method for initial value problems of second order ODEs[J]. Applied Mathematics and Mechanics, 2011 , 32(12) : 1541 -1564 . DOI: 10.1007/s10483-011-1522-x

Options

Outlines

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals

模态框（Modal）标题

Abstract

Cite this article