Two New Finite Difference Methods for Computing Eigenvalues of a Fourth Order Linear Boundary Value Problem 525
نویسنده
چکیده
This paper describes some new finite difference methods of order 2 and 4 for computing eigenvalues of a two-point boundary value problem associated with a fourth order differential equation of the form (py")" + (q r)y 0. Numerical results for two typical eigenvalue problems are tabulated to demonstrate practical usefulness of our methods.
منابع مشابه
Numerical methods for computing the eigenvalues of linear fourth-order boundary-value problems
Twizell, E.H. and S.A. Matar, Numerical methods for computing the eigenvalues of linear fourth-order boundary-value problems, Journal of Computational and Applied Mathematics 40 (1992) 115-125. Novel finite-difference methods are developed for approximating the cigenvalues of three types of linear, fourth-order, two-point, boundary-value problems. The fourth-order differential equation is trans...
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