The solution of nonlinear inverse boundary problem of heat conduction

• Date: 2016
• Main Authors: Мацевитый, Ю. М., Сафонов, Н. А., Ганчин, В. В.
• Format: Article
• Language: Russian
• Published: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2016
• Subjects: inverse heat conduction problem; the method of weighted residuals in the form of Galerkin; heat flow; superposition principle; Tikhonov regularization method; stabilizer; regularization parameter; identification; approximation; Schoenberg splines of first
• Online Access: https://journals.uran.ua/jme/article/view/65238
• Journal Title: Energy Technologies & Resource Saving

In this paper, to obtain a stable solution of nonlinear inverse boundary problem of heat conduction the method of Tikhonov regularization with effectiveness-tive search algorithm regularizing parameter. Seeking the heat flux at the boundary of the time coordinate splines approximate Schoenberg first...