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
Generalized Adams methods for fractional differential equations
NOVATI, PAOLO
2012
Abstract
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
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