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- W2314936472 abstract "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." @default.
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- W2314936472 date "1991-01-01" @default.
- W2314936472 modified "2023-09-25" @default.
- W2314936472 title "Proposal of a Scheme for Governing-Equation Inverse Problems." @default.
- W2314936472 doi "https://doi.org/10.1299/kikaia.57.2250" @default.
- W2314936472 hasPublicationYear "1991" @default.
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