IJPAM: Volume 75, No. 3 (2012)

USING LAGUERRES QUADRATURE IN WEIGHTED
RESIDUAL METHOD FOR PROBLEMS WITH
SEMI INFINITE DOMAIN

R.A. Oderinu$^1$, Y.A.S. Aregbesola$^2$
$^{1,2}$Ladoke Akintola University of Technology
PMB 4000, Ogbomoso, Oyo State, NIGERIA


Abstract. Natural roots of Laguerre Polynomials were used for both partition and collocation points in the weighted residual method for solving boundary value problems involving semi infinite domain. Numerical integration methods such as Trapezoidal rule, Simpson $\frac{1}{3}$ rule and shifted Laguerre formular were used where applicable, results obtained were compared with the exact solution when they are available and with referenced solution where they are not. Different problems were considered and it is observed that the choice of natural roots produce better results in most cases.

Received: November 22, 2011

AMS Subject Classification: 26A33

Key Words and Phrases: natural roots, Laguerre polynomials, trapezoidal rule, Simpson rule, partition method, weighted residual

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 75
Issue: 3