Identifying Differential Equations by Galerkin's Method

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1977Publisher:JSTORJournal:Mathematics of Computation, volume 31, page 139 (issn: 0025-5718,

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Authors: Mosevich, Jack W.;

doi: 10.2307/2005785 , 10.1090/s0025-5718-1977-0426447-0

Identifying Differential Equations by Galerkin's Method

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Abstract

A numerical technique based on Galerkin’s method is presented for computing unknown parameters or functions occurring in a differential equation whose solution is known. Under certain conditions a solution can be shown to exist to the integral equation formulation of this problem. It is also shown that the resulting nonlinear system is nonsingular.

Keywords

Algorithms for approximation of functions, System identification, Numerical methods for initial value problems involving ordinary differential equations

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