Collocation Technique for Numerical Solution of Integral Equations with Certain Orthogonal Basis Function in Interval [0, 1] - Open Access Library Journal

OALibJ > Vol.4 No.12, December 2017

Collocation Technique for Numerical Solution of Integral Equations with Certain Orthogonal Basis Function in Interval [0, 1] ()

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DOI: 10.4236/oalib.1104050 505 Downloads 2,301 Views Citations

Author(s)

O. L. Babasola¹, I. Irakoze²

Affiliation(s)

¹University of Ilorin, Ilorin, Nigeria.
²Université du Burundi, Bujumbura, Burundi.

ABSTRACT

This paper is concerned with the construction of a class of polynomial orthogonal with respect to the weight function w(x)=1-x² over the interval [0,1]. The zeros of these polynomials were employed as points of collocation for the orthogonal collocation technique in the solution of integral equations. The method is illustrated with some numerical examples and the results obtained show that the method is effective.

KEYWORDS

Collocation Method, Integral Equations, Orthogonal Polynomials

Share and Cite:

Babasola, O. and Irakoze, I. (2017) Collocation Technique for Numerical Solution of Integral Equations with Certain Orthogonal Basis Function in Interval [0, 1]. Open Access Library Journal, 4, 1-11. doi: 10.4236/oalib.1104050.

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