A Novel RNA Genetic Algorithm for the Parameter Estimation of the Ordinary Differential Equations with Multiple Solutions

In fluid mechanics, to obtain the multiple solutions in ordinary differential equations is always a concerned and difficult problem. In this paper, a novel RNA genetic algorithm (NRNA-GA) inspired by RNA molecular structure and operators is proposed to solve the parameter estimation problems of the multiple solutions in fluid mechanics. This algorithm has improved greatly in precision and the success rate. Multiple solutions can be found through changing accuracy and search coverage and multi-iterations of computer. At last, parameter estimation of the ordinary differential equations with multiple solutions is calculated. We found that the result has great accuracy and this method is practical. Streszczenie. W artykule zaproponowano nowy algorytm genetyczny NRNA-GA inspirowany strukturą molekularną RNA przeznaczony do rozwiązywania rownan z wieloma rozwiązaniami w mechanice cieczy. (Nowy algorytm genetyczny do ustalania parametrow w rownaniach rozniczkowych o wielu rozwiązaniach)