Murtala M. Ahmad, M.R. Odekunle, A.U. Bawa, S. Samuel, Solution of Boundary Value Problems by Lanczos-Canonical Method, Journal of Modern Mathematics and Statistics, Volume 7,Issue 3, 2013, Pages 32-36, ISSN 1994-5388, jmmstat.2013.32.36, (https://makhillpublications.co/view-article.php?doi=jmmstat.2013.32.36) Abstract: Canonical polynomials were used as basis functions in Lanczos-reduction method to obtain what we call Lanczos-canonical reduction method. The scheme was implemented for the case N = 4 on elliptic convection diffusion problem. The results were compared with that of Lanczos-Chebyshev and were found to be better. Keywords: Elliptic convection diffusion problem;Lanczos-reduction method;canonical polynomials;scheme;functions