IJPAM: Volume 75, No. 3 (2012)
RESIDUAL METHOD FOR PROBLEMS WITH
SEMI INFINITE DOMAIN
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 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