Numerical Integration of Seventh order Boundary Value Problems by Standard Collocation Method via Four Orthogonal Polynomials
1 Department of Mathematics University of Ilorin, Ilorin, Nigeria
2 Department of Mathematical and Physical Sciences, Osun State University, Osogbo, Nigeria
* Corresponding author: bello.ak@unilorin.edu.ng
2 Department of Mathematical and Physical Sciences, Osun State University, Osogbo, Nigeria
* Corresponding author: bello.ak@unilorin.edu.ng
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 perfor
mance 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.
Keywords
Standard collocation technique
Orthogonal polynomials
Seventh order ordinary differential equations
How to Cite
Bello, K. A., Taiwo, O. A., Abdulkareem, A., Abubakar, J. U., & Adebisi, F. A. (2017). Numerical Integration of Seventh order Boundary Value Problems by Standard Collocation Method via Four Orthogonal Polynomials. Nigerian Journal of Mathematics and Applications, 26(1), 113−127.
K. A. Bello, O. A. Taiwo, A. Abdulkareem, J. U. Abubakar, and F. A. Adebisi, "Numerical Integration of Seventh order Boundary Value Problems by Standard Collocation Method via Four Orthogonal Polynomials," Nigerian Journal of Mathematics and Applications, vol. 26, no. 1, pp. 113−127, September 2017.
