Title :
Dynamic behavior of a reaction/diffusion system: wavelet-like collocations and approximate inertial manifolds
Author :
Russo, Lucia ; Adrover, Alessandra ; Continillo, Gaetano ; Crescitelli, Silvestro ; Giona, Massimiliano
Author_Institution :
Dipt. di Ingegneria Chimica, Naples Univ., Italy
Abstract :
This article develops a simple collocation method based on a non-polynomial choice of the trial functions (corresponding to localized sinc functions), and applies it in the construction of approximate inertial manifolds of a typical reaction/diffusion scheme containing non-polynomial nonlinearities
Keywords :
partial differential equations; reaction-diffusion systems; wavelet transforms; approximate inertial manifolds; dynamic behavior; localized sinc functions; nonpolynomial choice; nonpolynomial nonlinearities; reaction/diffusion system; trial functions; wavelet-like collocations; Differential equations; Eigenvalues and eigenfunctions; Fluid dynamics; Kinetic theory; Mathematical model; Navier-Stokes equations; Partial differential equations; Polynomials; Solids; Temperature dependence;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.873990
