An Enhanced Quartic B-spline Method for a Class of Non-linear Fifth-Order Boundary Value Problems

In this paper, we apply quartic B-splines properly to study a new approximation method for numerical solutions and numerical derivatives for a class of non-linear fifth-order boundary value problems. Their analytic solutions and any-order derivatives are well approximated with O(h6)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${O(h^{6})}$$\end{document} errors. Numerical tests are performed and numerical results show that our new method is very practical and effective.