Identification of the distributed parameters of external heat exchange with use of cubic splines (Q2901739)

The problem of identification of parameters of convective heat exchange which depends on time, is considered. Cubic splines for approximation of functions with a set of local extrema, are used. The mathematical model of the problem is the equation of heat conductivity with conditions of convective heat exchange. The problem is reduced to finding of a conditional minimum square-law difference functional under conditions of interface and continuity of the derivatives. The method of final differences and a method of uncertain multipliers are used in order to solve the problem of identification. The advantages of the use of cubic splines over methods on the basis of regularization is shown.