The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON HEAT AND MASS TRANSFER
Transactions ID Number: 89-626
Full Name: Andris Buikis
Position: Professor
Age: ON
Sex: Male
Address: Institute of Mathematics and Computer Sciences, University of Latvia, Raina Blvd 29, Riga, LV1459
Country: LATVIA
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E-mail address: buikis@latnet.lv
Other E-mails: tabita.magdalena@gmail.com
Title of the Paper: Hyperbolic Heat Equation as Mathematical Model for Steel Quenching of L-shape and T-shape Samples, Direct and Inverse Problems
Authors as they appear in the Paper: Tabita Bobinska, Margarita Buike, Andris Buikis
Email addresses of all the authors: tabita.magdalena@gmail.com,mbuike@lanet.lv,buikis@latnet.lv
Number of paper pages: 10
Abstract: In this paper we develop mathematical model for 2D and 3D hyperbolic heat equation and construct an analytical solution of inverse problem for thin L-shape and T-shape samples. Solutions for both direct and inverse problems are obtained in closed analytical form as 2nd kind iterative integral equation, which is Fredholm integral equation with respect to space coordinate and Volterra integral equation with respect to time.
Keywords: Steel quenching, Hyperbolic heat equation, L-shape sample, T-shape sample, Direct problem, Inverse problem, Exact solution, Integral equation
EXTENSION of the file: .doc
Special (Invited) Session: Hyperbolic Heat Equation as Mathematical Model for Steel Quenching of L-Shape Samples, Part 2 (Inverse Problem)
Organizer of the Session: 640-088
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