NUMERICAL INVESTIGATION FOR THE START CONTROL AND FINAL OBSERVATION PROBLEM IN MODEL OF AN I-BEAM DEFORMATION
Abstract
The article considers the start control and the final observation of solutions to the Showalter -- Sidorov problem for the mathematical model of an I-beam deformation. We construct the sufficient conditions for the existence of the start control and the final observation by weak generalized solutions of the considered model with the initial Showalter -- Sidorov condition. Based on the theoretical results, we construct the algorithm of the numerical method to solve the problem of start control and final observation for the model of an I-beam deformation. The results of computational experiments are presented.
Keywords
Sobolev type equation; problem of start control and final observation; model of I-beam deformation; the Galerkin method; decomposition method.
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