An effective method for numerical solution and numerical derivatives for sixth order two-point boundary value problems

作者：Lang Feng Gong^*; Xu Xiao Ping

来源：Computational Mathematics and Mathematical Physics, 2015, 55(5): 811-822.

DOI：10.1134/S0965542515050115

• sixth order two-point boundary value problem
• quintic spline
• numerical solution
• numerical derivative

In this paper, we study an effective quintic polynomial spline method for numerical solution, and first order to fifth order numerical derivatives of the analytic solution at the knots for a class of sixth order two-point boundary value problems. Our new method is based on a quintic spline interpolation problem. It is easy to implement and is able to provide sixth order accurate numerical results at the knots. Numerical tests show that our method is very practical and effective.

• 出版日期2015-5
• 单位中国海洋大学