場の支配微分方程式を推定する方法の提案

概要

論文の詳細を見る
Governing-equation inverse problems deal with an inference of a differential equation governing a field quantity from observations. In the present paper an inversion scheme was proposed which reduced the identification of the governing differential equation to the estimation of the order and the coefficients of the differential equation. The values of the field quantity observed under several conditions were simultaneously used in the estimation. Numerical simulations were made on the applications of the proposed scheme to the identification of a second-order ordinary differential equation and a second-order partial differential equation. It was found that the proposed scheme was useful for estimating the governing differential equation, even when the order of the differential equation was not known in advance.
一般社団法人日本機械学会の論文
1991-09-25