PROMOTING ACCESS TO AFRICAN RESEARCH

Journal of the Nigerian Association of Mathematical Physics

The AJOL site is currently undergoing a major upgrade, and there will temporarily be some restrictions to the available functionality.
-- Users will not be able to register or log in during this period.
-- Full text (PDF) downloads of Open Access journal articles will be available as always.
-- Full text (PDF) downloads of subscription based journal articles will NOT be available
We apologise for any inconvenience caused. Please check back soon, as we will revert to usual policy as soon as possible.





DOWNLOAD FULL TEXT Open Access  DOWNLOAD FULL TEXT Subscription or Fee Access

Numerical Performances of Two Orthogonal Polynomials in the Tau Method for Solutions of Ordinary Differential Equations

BM Yisa

Abstract


In this work, efforts are made at comparing the numerical effectiveness of the 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, within the same interval, as bases functions in the Ortiz’s Recursive Formulation of Lanczos’ Tau method. Numerical experiments show that the two are very accurate.

Keywords: Tau System, Canonical Polynomials, Legendre Polynomials, Tau Approximant


Full Text:


No subscription journal articles available during site upgrade.



AJOL African Journals Online