Identification of unknown parameters for heat conductivity equations
An algorithm for identification of unknown parameters of nonlinear heat conductivity equations is proposed. Solutions of equations observed with an error are input data of the algorithm. Finite dimensional approximations of input signals and their derivatives are used. The algorithm utilizes the ide...
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| Veröffentlicht in: | Numerical functional analysis and optimization 1995-01, Vol.16 (5-6), p.583-599 |
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| container_issue | 5-6 |
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| container_title | Numerical functional analysis and optimization |
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| creator | Botkin, N. D |
| description | An algorithm for identification of unknown parameters of nonlinear heat conductivity equations is proposed. Solutions of equations observed with an error are input data of the algorithm. Finite dimensional approximations of input signals and their derivatives are used. The algorithm utilizes the idea of the direct minimization of the residual of equations written in an appropriate variational form. The convergence of the algorithm output to the set of all parameters compatible with the exact solution is proved. The paper is illustrated by computer simulations related to the identification of heat conductivity coefficients depending upon spatial variables and the temperature. |
| doi_str_mv | 10.1080/01630569508816634 |
| format | Article |
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| identifier | ISSN: 0163-0563 |
| ispartof | Numerical functional analysis and optimization, 1995-01, Vol.16 (5-6), p.583-599 |
| issn | 0163-0563 1532-2467 |
| language | eng |
| recordid | cdi_pascalfrancis_primary_3646831 |
| source | Taylor & Francis:Master (3349 titles) |
| subjects | Algorithms for functional approximation Exact sciences and technology Mathematical methods in physics Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical approximation and analysis Partial differential equations, miscellaneous problems Physics Sciences and techniques of general use |
| title | Identification of unknown parameters for heat conductivity equations |
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