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

Abstract

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(h 6 ) errors. Numerical tests are performed and numerical results show that our new method is very practical and effective.Mathematics Subject Classification. 34K10, 34K28, 65D07.