Title :
Fast neural solution of a nonlinear wave equation
Author :
Toomarian, Nikzad ; Barhen, Jacob
Author_Institution :
Jet Propulsion Lab., California Institute of Technology, Pasadena, CA, USA
Abstract :
A neural algorithm for rapidly simulating a certain class of nonlinear wave phenomena using analog VLSI neural hardware is presented and applied to the Korteweg-de Vries partial differential equation. The corresponding neural architecture is obtained from a pseudospectral representation of the spatial dependence, along with a leap-frog scheme for the temporal evolution. Numerical simulations demonstrated the robustness of the proposed approach
Keywords :
digital simulation; neural nets; partial differential equations; physics computing; wave equations; KdV equation; Korteweg-de Vries partial differential equation; VLSI; leap frog approximation; neural algorithm; neural architecture; neural nets; nonlinear wave equation; pseudospectral representation; spatial dependence; temporal evolution; Hardware; Jacobian matrices; Laboratories; Nonlinear equations; Numerical simulation; Partial differential equations; Propulsion; Robustness; Solitons; Very large scale integration;
Conference_Titel :
Neural Networks, 1992. IJCNN., International Joint Conference on
Conference_Location :
Baltimore, MD
Print_ISBN :
0-7803-0559-0
DOI :
10.1109/IJCNN.1992.227044
