Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (1): 55-67.

• Articles • Previous Articles     Next Articles

Numerical Computation of Eigenvalues of Self-adjoint Differential Operators by Using the Method of Separating Eigen-parameter

 CHEN Jin-She, SUN Jiong   

  1. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021
  • Received:2009-12-22 Revised:2011-03-07 Online:2012-02-25 Published:2012-02-25
  • Supported by:

    国家自然科学基金(10561005, 10861008)和内蒙古大学高层次人才引进科研启动项目(Z20090117)资助

Abstract:

In this paper, a power series representation in λ and its method to solve for the general solution of eigen-equation ly(x, λ) = λy(x, λ) are discovered. Then, a new numerical method to get eigenvalues of self-adjoint ordinary di?erential operators is obtained. Also the analysis of stability and error for the algorithm are given. At last, the numerical examples are presented to verify the effciency of the method.

Key words: Ordinary differential operators, Eigenvalues, Numerical computation, Separating eigen-parameter, Eigen-determinant

CLC Number: 

  • 34L16
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