A simple collocation method based on a non-polynomial choice of the trial functions is developed. It is applied in construction of approximate inertial manifolds of a typical reaction/diffusion scheme containing non-polynomial nonlinearities. The model system is related to the self-ignition properties of stockpiles and considered in terms of a one-dimensional spatial approximation. Combustion is accounted for by means of simple first-order exothermic kinetics.
Dynamic behavior of a reaction/diffusion system: wavelet-like collocations and approximate inertial manifolds / L., Russo; Adrover, Alessandra; G., Continillo; S., Crescitelli; Giona, Massimiliano. - STAMPA. - 1-3:(2000), pp. 356-359. (Intervento presentato al convegno 2nd International Conference on Control of Oscillations and Chaos tenutosi a ST PETERSBURG, RUSSIA nel JUL 05-07, 2000).
Dynamic behavior of a reaction/diffusion system: wavelet-like collocations and approximate inertial manifolds
ADROVER, Alessandra;GIONA, Massimiliano
2000
Abstract
A simple collocation method based on a non-polynomial choice of the trial functions is developed. It is applied in construction of approximate inertial manifolds of a typical reaction/diffusion scheme containing non-polynomial nonlinearities. The model system is related to the self-ignition properties of stockpiles and considered in terms of a one-dimensional spatial approximation. Combustion is accounted for by means of simple first-order exothermic kinetics.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
