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Numerical identification of a coefficient in a parabolic quasilinear equation. (English) Zbl 0574.65136
An identification problem of a nonlinear function in a quasilinear equation of parabolic type arising in mathematical modelling of gas chromatography is considered. The identification is formulated as an optimal control problem, whose existence is discussed. A method for the numerical solution of the optimal control problem is described in details. In the method a finite-difference approximation of the state equation is used and the obtained nonlinear optimization problem is solved using a modification of the conjugate gradient algorithm. The results of a numerical example are presented.
Reviewer: K.Malanowski

65Z05 Applications to the sciences
65K10 Numerical optimization and variational techniques
35K20 Initial-boundary value problems for second-order parabolic equations
35R30 Inverse problems for PDEs
49J20 Existence theories for optimal control problems involving partial differential equations
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