Numerical Integration of Seventh Order Boundary Value Problems by Standard Collocation Method via Four Orthogonal Polynomials

Abstract

Based on standard collocation technique, four (4) different orthogonal polynomials were used as basis functions in the numerical treatment of seventh (7th) order boundary value problems in Ordinary Differential Equations. The performance of each of these polynomials as basis function in the trial solution was then compared. The results obtained from three examples showed that Chebyshev polynomial is the best in term of performance, and closely followed by Hermites polynomial, which was followed by Legendre poly-nomial while the least in performance is Laguerre polynomial.