Finite modeling of parabolic equations using galerkin methods and inverse matrix approximations
Document Type
Article
Publication Date
1-1-1996
Abstract
In this paper we examine order reduction of parabolic systems using modal truncation. The parabolic distributed system is first approximated using the Galerkin method. The system matrices have a special structure that allows us to find the approximate spectrum of the parabolic system. To do this we compute approximate inverses of tridiagonal, diagonally dominant symmetric matrices. This approximation leads to algorithms of order O(n), as opposed to traditional algorithms of order O(n3), where n is the order of the system. Finally, an example is presented to illustrate the proposed algorithm.
Repository Citation
Chattergy, R.,
Syrmos, V.,
& Misra, P.
(1996). Finite modeling of parabolic equations using galerkin methods and inverse matrix approximations. Circuits, Systems, and Signal Processing, 15, 631-648.
https://corescholar.libraries.wright.edu/ee/23
DOI
10.1007/BF01188986
