Numerical Solutions of Fourth Order Lidstone Boundary Value Problems Using Discrete Quintic Splines

作者：Chen Fengmin^*; Wong Patricia J Y

来源：Journal of Computational Analysis and Applications, 2014, 16(3): 540-551.

• Discrete quintic spline
• central difference
• Lidstone boundary value problem
• numerical solution
• fourth order

In this paper, the numerical treatment of a fourth order Lidstone boundary value problem is proposed with the use of a discrete quintic spline based on central differences. It is shown that the method is of order 4 if a parameter takes a specific value, else it is of order 2. A well known numerical example is presented to illustrate our method as well as to compare the performance with other numerical methods proposed in the literature.

• 出版日期2014-4
• 单位南阳理工学院