期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2011
卷号：2011
DOI：10.1155/2011/673085
出版社：Hindawi Publishing Corporation
摘要：We extend a
collocation method for solving a nonlinear
ordinary differential
equation (ODE) via Jacobi polynomials. To date, researchers
usually use Chebyshev or Legendre collocation method for solving
problems in chemistry, physics, and so forth, see the works of (Doha and Bhrawy 2006, Guo 2000, and Guo et al. 2002). Choosing the optimal polynomial for solving every ODEs problem
depends on many factors, for example, smoothing continuously and
other properties of the solutions. In this paper, we show
intuitionally that in some problems choosing other members of
Jacobi polynomials gives better result compared to Chebyshev or
Legendre polynomials.
