Journal
APPLICABLE ANALYSIS
Volume 96, Issue 10, Pages 1669-1680Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00036811.2016.1257124
Keywords
Fractional differential equation; fractional linear multistep method; backward differentiation formula; stability
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Funding
- National Natural Science Foundation of China [11271102, 11671112]
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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.
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