Parametric Neural Network Modeling in Engineering

Abstract

Background: We consider the unified neural network simulation methodology concerning with construction of the robust mathematical models of complex systems in physics and technology based on the differential equation. This methodology allows overcoming the problems of research and simulation in Engineering caused by the complexity of geometry, different scale of processes etc. The analysis of patents with the differential equation solution as the essential part of a technique is carried out. Keywords: Artificial neural network (ANN), interval parameter, boundary value problem, heat-and-mass transfer, porous catalyst, point data, thermal diffusivity, stiff differential equation, differential-algebraic system.