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Article information
2001 , Volume 6, ¹ 6, p.32-38
Dairbaeva L.M., Akzhalova A.Z.
On one approximate method for solving problem on reconstruction of coefficient of two-dimensional quasilinear heat conduction equation
The problem on reconstruction of heat-conduction coefficient for two-dimensional quasi-linear heat conduction equation is considered. The method for the reconstruction is suggested, which is based on the construction of minimizing functional. The method gives the opportunity to solve the original problem in three-dimensional case and to bypass the problem of economy of computer memory.
[full text] Classificator Msc2000:- *35K55 Nonlinear PDE of parabolic type
- 35R30 Inverse problems (undetermined coefficients, etc.) for PDE
- 65M32 Inverse problems
- 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
- 80A23 Inverse problems
Keywords: quasilinear heat equation, initial boundary problem, iterative method, inverse problem, functional minimization, heat-conductivity coefficient, reconstruction method
Author(s):
Dairbaeva L M
Office: Al-Farabi Kazakh University
Address: Kazakhstan, Almatu
E-mail: dairbaeva@kazsu.kz
Akzhalova A Zh
Office: Al-Farabi Kazakh University
Address: Kazakhstan, Almatu
E-mail: akasel@yahoo.com
Bibliography link:
Dairbaeva L.M., Akzhalova A.Z. On one approximate method for solving problem on reconstruction of coefficient of two-dimensional quasilinear heat conduction equation // Computational technologies. 2001. V. 6. ¹ 6. P. 32-38
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