NUMERICAL-METHODS FOR COMPUTING THE EIGENVALUES OF LINEAR 4TH-ORDER BOUNDARY-VALUE-PROBLEMS

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:40

Article

TWIZELL, EH ; MATAR, SA

关键词: EIGENVALUE PROBLEMS;    4TH-ORDER BOUNDARY-VALUE PROBLEMS;    EQUIVALENT 1ST-ORDER PROBLEMS;    PADE APPROXIMANTS;   

DOI  :  10.1016/0377-0427(92)90046-Z

来源: Elsevier

【 摘 要 】

Novel finite-difference methods are developed for approximating the eigenvalues of three types of linear, fourth-order, two-point, boundary-value problems. The fourth-order differential equation is transformed into a system of first-order equations and the numerical methods are derived by replacing the matrix exponential function in a recurrence relation by Pade approximants. Numerical results are obtained for a number of problems from the literature.

【 授权许可】

Free