»ã±¨±êÌâ (Title)£º¹ãÒåSturm-LiouvilleÎÊÌâµÄ¸ß¾«ÌصãÖµ

»ã±¨ÈË (Speaker)£º Áõ½øÏÍ ½ÌÊÚ£¨Ì¨Í庣Ñó´óѧ£©

»ã±¨¹¦·ò (Time)£º2022Äê5ÔÂ25ÈÕ (ÖÜÈý) 14:00-15:00

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The eigenvalues are solved by a new iterative algorithm based on a derivative-free iterative method for the generalized Sturm-Liouville problem, of which two unknowns involved a missing initial value and the eigenvalue are to be determined. The eigen-parameter dependent boundary shape functions are adopted to transform the generalized Sturm-Liouville problem to an initial value problem for a new variable, whose initial values are given. The uniqueness condition of the eigenfunction is used to obtain the terminal values of the new variable, such that only the eigenvalue appears in the new formulation. The eigen-parameter dependent boundary condition on the right-end is used to derive an implicit and numerical characteristic equation, which can be solved to obtain highly precise eigenvalues. Numerical tests confirm that the proposed iterative algorithm is accurate to find the eigenvalues quickly.