Numerical Computation of Eigenvalues of Self-adjoint Differential Operators by Using the Method of Separating Eigen-parameter
Chen Jinshe Sun Jiong (School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021)
In this paper,a power series representation in A 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 differential 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 efficiency of the method.
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.