A class of multi-step difference schemes by using Pade approximant

作者：Wu, Jinming^*; Zhang, Xiaolei

来源：Mathematical Methods in the Applied Sciences, 2014, 37(16): 2554-2561.

DOI：10.1002/mma.2996

• finite difference schemes
• Pade approximant
• multi-step
• linear boundary value problems

In this paper, we present a method for the construction of a class of multi-step finite differences schemes for solving arbitrary order linear two-point boundary value problems. The construction technique is based on Pade approximant. It is easy to derivemulti-step difference schemes, and it includes many existing schemes as its special cases. Numerical experiments show that the proposed schemes are flexible and convergent.

• 出版日期2014-11-15
• 单位浙江工商大学