Generalized Adams methods for fractional differential equations

Lidia Aceto, Cecilia Magherini, Paolo Novati
We introduce a new family of fractional convolution quadratures based on generalized Adams methods for the numerical solution of fractional differential equations. We discuss their accuracy and linear stability properties. The boundary loci reported show that, when used as Boundary Value Methods, these schemes overcome the classical order barrier for A-stable methods.
doi:10.1063/1.4756110 fatcat:gpdkevsuwfd6jbvrsromhqga6i