On the fourth-order difference equation for the associated Meixner polynomials
نویسندگان
چکیده
منابع مشابه
The Fourth-order Difference Equation Satisfied by the Associated Orthogonal Polynomials of the Delta-Laguerre-Hahn Class
Starting from the D!-Riccati Diierence equation satissed by the Stieltjes function of a linear functional, we work out an algorithm which enables us to write the general fourth-order diierence equation satissed by the associated of any integer order of orthogonal polynomials of the-Laguerre-Hahn class. Moreover, in classical situations (Meixner, Charlier, Krawtchouk and Hahn), we give these dii...
متن کاملFourth-order finite difference method for solving Burgers' equation
In this paper, we present fourth-order finite difference method for solving nonlinear one-dimensional Burgers equation. This method is unconditionally stable. The convergence analysis of the present method is studied and an upper bound for the error is derived. Numerical comparisons are made with most of the existing numerical methods for solving this equation. 2005 Elsevier Inc. All rights res...
متن کاملA Fourth Order Accurate Finite Difference Scheme for the Elastic Wave Equation in Second Order Formulation
We present a fourth order accurate finite difference method for the elastic wave equation in second order formulation, where the fourth order accuracy holds in both space and time. The key ingredient of the method is a boundary modified fourth order accurate discretization of the second derivative with variable coefficient, (μ(x)ux)x. This discretization satisfies a summation by parts identity ...
متن کاملOn the zeros of Meixner polynomials
We investigate the zeros of a family of hypergeometric polynomials Mn(x;β, c) = (β)n 2F1(−n,−x;β; 1 − 1c ), n ∈ N, known as Meixner polynomials, that are orthogonal on (0,∞) with respect to a discrete measure for β > 0 and 0 < c < 1. When β = −N , N ∈ N and c = p p−1 , the polynomials Kn(x; p,N) = (−N)n 2F1(−n,−x;−N ; 1 p ), n = 0, 1, . . . N , 0 < p < 1 are referred to as Krawtchouk polynomial...
متن کاملHigh-accuracy alternating segment explicit-implicit method for the fourth-order heat equation
Based on a group of new Saul’yev type asymmetric difference schemes constructed by author, a high-order, unconditionally stable and parallel alternating segment explicit-implicit method for the numerical solution of the fourth-order heat equation is derived in this paper. The truncation error is fourth-order in space, which is much more accurate than the known alternating segment explicit-impli...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1997
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(97)82986-x