NUMERICAL METHOD OF ELECTRODYNAMICS PROBLEM SOLUTIONS IN FINE WIRE APPROACHJournal: Science and world (Vol.1, No. 12)
Publication Date: 2014-08-15
Authors : Alasheeva E.A.; Rogova N.V.;
Page : 17-19
Keywords : wavelet functions; Galerkin method; fast wavelet transformation; pseudo sparse matrix.;
In recent years, it is interesting to use the mathematical apparatus with wavelet functions that were opened recently, for the solution of various applications. In the paper, we constructed a mathematical model of the antenna device, and presented the algorithm of the task solving with the help of wavelet analysis. The combination of finiteness and the orthogonality of wavelet functions leads to the fact that the linear algebraic matrix arising in the Bubnov-Galerkinmethod, are pseudo sparse i.e., being without a single zero element, they are well approximated by normal-sparsed matrices. The resulting solution is more accurate compared to the solutions obtained by other methods.
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