Fast neural solution of a nonlinear wave equation

Fast neural solution of a nonlinear wave equation

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 spati...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Toomarian, N., Barhen, J.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Hardware
Jacobian matrices
Laboratories
Nonlinear equations
Numerical simulation
Partial differential equations
Propulsion
Robustness
Solitons
Very large scale integration
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Beschreibung
Zusammenfassung: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.< >
DOI:10.1109/IJCNN.1992.227044