Online continuous solving of nonlinear equations and its industrial applications. (Chinese. English summary) Zbl 0960.65060
Summary: The problem of a real-time online continuous solving numerical method for an nonlinear equation \(F(x(t), V(t),t)= 0\) with the \(V(t)\) is continuously varying is discussed, which is used to build a soft instrument in chemical processes. A limited search genetic algorithm and its improved algorithm are put forward according to the characteristic of online continuous solving of nonlinear equation. A self-adapting factor is introduced to solve the initial value problems. Simulation results of an industrial model show that the derived algorithm is correct.
MSC:
| 65H10 | Numerical computation of solutions to systems of equations |
| 65L05 | Numerical methods for initial value problems involving ordinary differential equations |
| 34A34 | Nonlinear ordinary differential equations and systems |
| 80A30 | Chemical kinetics in thermodynamics and heat transfer |
| 92E20 | Classical flows, reactions, etc. in chemistry |
