J4 ›› 2010, Vol. 48 ›› Issue (03): 367-371.

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Polynomial Approximation of a Nonlinear OrdinaryDifferential Equation

CHANG Jing1,2, LIU Dong1   

  1. 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. Teaching and Research Section of Mathematics, Aviation University of Air Force, Changchun 130022, China
  • Received:2009-09-09 Online:2010-05-26 Published:2010-05-19
  • Contact: CHANG Jing E-mail:changjing81@126.com

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Abstract:

The  polynomial approximation of nonlinear ordinary differential equation was obtained based on the minimization in the least square sense. The approximation is three order or higher. Finally two examples were given in order to prove the validity of the method.

Key words: nonlinear ordinary differential equation, least square, polynomial approximation

CLC Number: 

  • O175.14
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