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Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (12): 1541-1564.doi: https://doi.org/10.1007/s10483-011-1522-x

• Articles • Previous Articles     Next Articles

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

 YAN Jian-Ping1,2, GUO Ben-Yu1,3,4   

  1. 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:2011-04-25 Revised:2011-09-03 Online:2011-12-09 Published:2011-12-01

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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.

2010 MSC Number: 

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