Relative in Numerical Performance of Certain Polynomials in Tau Method
No Thumbnail Available
Date
2015-12-01
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Federal University of Technology, Minna, Nigeria.
Abstract
This paper examines the order of numerical usefulness of the four kinds of Chebyshev polynomials, especially in the differential formulation of the Lanczos’ Tau method. Their practical applications on selected numerical problems, which are constant and variable coefficients, homogeneous and nonhomogeneous problems of varied orders, showed correlation between the accuracy first and fourth kinds. The second kind was next in performance, while the third kind performed least.
Description
Keywords
Chebyshev Polynomials, Canonical Polynomials, Differential Formulation, Tau Approximant, Ordinary Differential Equation, Research Subject Categories::MATHEMATICS
Citation
Yisa, B. M. (2015)