We consider the weakly singular Volterra formulation of linear fractional differential equations and we study the sensitivity, relative to perturbations in the kernel, of numerical solutions obtained by product-integration rules. The behaviour of such methods over long time intervals is also investigated in order to develop a numerical stability theory which applies to a non conventional class of test problems.
Effect of perturbation in the numerical solution of fractional differential equations / Messina, E., Garrappa, R., Vecchio, A.. - (2016). (9th Workshop SDS2016 STRUCTURAL DYNAMICAL SYSTEMS: Computational Aspects Hotel-Villaggio Porto Giardino, Capitolo, Monopoli, Italy June 14-17, 2016).
Effect of perturbation in the numerical solution of fractional differential equations
E. Messina;
2016
Abstract
We consider the weakly singular Volterra formulation of linear fractional differential equations and we study the sensitivity, relative to perturbations in the kernel, of numerical solutions obtained by product-integration rules. The behaviour of such methods over long time intervals is also investigated in order to develop a numerical stability theory which applies to a non conventional class of test problems.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
