• Aboiyar, Terhemen
  Department of Mathematics, College of Physical Sciences, Joseph Sarwuan Tarka University, Makurdi,Nigeria
  




• Enonche, Francis
  Department of Mathematics, College of Physical Sciences, Joseph Sarwuan Tarka University, Makurdi,Nigeria
  

In this paper, a collocation method for approximating higher order rnboundary value problems of ordinary differential equations (ODEs) rnutilizing the probabilists` Hermite polynomials of degree 10 as basis rnfunction was developed. The scheme was found to have circumvented rnthe Runge phenomenon. Three examples of linear boundary value rnproblems of orders 6,8 and 10 were used as test equations and rnapproximated using the constructed scheme. All the implementations rnwere carried out via MAPLE software and compared with the rnanalytical solutions. The absolute errors shows that the developed rnmethod provided good approximation and the results were better than rnsome other numerical solutions available in literature. This rndemonstrates the reliability and efficiency of the scheme.