Title :
Analysis and numerical integration of nonlinear systems using MD passive circuits
Author :
Mertzios, B.G. ; Koumboulis, F.N.
Author_Institution :
Dept. of Electr. & Comput. Eng., Democritus Univ. of Thrace, Xanthi, Greece
Abstract :
The problem of analysing multivariable nonlinear (NL) partial differential equations (PDEs) is studied via the numerical integration of the set of equations. The class of equations is quite general involving multivariations to the weights of the partial derivative terms. To accomplish the numerical integration the original system is transformed then realized as a passive generalized Kirchhoff circuit. The Kirchhoff circuit can be appropriately discretized in order to be represented by a discrete multidimensional (MD) system, using principles of wave digital filters (WDFs)
Keywords :
distributed parameter systems; integration; multidimensional systems; multivariable systems; nonlinear differential equations; nonlinear systems; partial differential equations; passive networks; wave digital filters; WDF principles; discrete multidimensional system; multivariable nonlinear PDE; nonlinear partial differential equations; nonlinear systems; numerical integration; passive generalized Kirchhoff circuit; wave digital filters; Circuit analysis computing; Computer industry; Differential equations; Digital filters; Distributed parameter systems; Multidimensional systems; Nonlinear equations; Nonlinear systems; Partial differential equations; Passive circuits;
Conference_Titel :
Circuits and Systems, 1999. ISCAS '99. Proceedings of the 1999 IEEE International Symposium on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-5471-0
DOI :
10.1109/ISCAS.1999.777502
