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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.
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