This paper deals with spline collocation methods for fractional differential equations, introduced by Pedas and Tamme (2014). Some practical formulas are derived, for the computation of fractional integrals involved in the method, useful for implementation. Linear stability analysis is carried out and stability regions of several methods are provided. Numerical experiments on linear and nonlinear test problems confirm theoretical expectations.
Stability analysis of spline collocation methods for fractional differential equations
Cardone, Angelamaria;Conte, Dajana
2020-01-01
Abstract
This paper deals with spline collocation methods for fractional differential equations, introduced by Pedas and Tamme (2014). Some practical formulas are derived, for the computation of fractional integrals involved in the method, useful for implementation. Linear stability analysis is carried out and stability regions of several methods are provided. Numerical experiments on linear and nonlinear test problems confirm theoretical expectations.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
