Numerical Performances of Two Orthogonal Polynomials in the Tau Method for Solutions of Ordinary Differential Equations
No Thumbnail Available
Date
2015-05-01
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Nigerian Association of Mathematical Physics
Abstract
In this work, efforts are made at comparing the numerical effectiveness of two most accurate orthogonal polynomials; Chebyshev and Legendre polynomials. Although the two have different weight functions, but they most time give close results especially when they are considered in the same interval. This work has therefore used the two polynomials, withing the same interval, as bases functions in the Ortiz’s Recursive Formulation of Lanczos’s Tau method. Numerical experiments show that the two are very accurate.
Description
Keywords
Tau System, Canonical Polynomials, Legendre Polynomials, Tau approximant, Research Subject Categories::MATHEMATICS
Citation
Yisa, B. M. (2015)