High order fractional backward differentiation formulae

作者：Zhao, Jingjun; Long, Teng; Xu, Yang^*

来源：APPLICABLE ANALYSIS, 2017, 96(10): 1669-1680.

DOI：10.1080/00036811.2016.1257124

• Fractional differential equation
• fractional linear multistep method
• backward differentiation formula
• stability

For the fractional differential equation, we present a new kind of high order fractional backward differentiation formulae. The coefficients of this new scheme are obtained by using the order conditions and generating functions. The new scheme has two distinct features: (i) it can achieve the order in theory in numerical computations, and (ii) it is A(0)-stable.

• 出版日期2017
• 单位哈尔滨工业大学