ALGORITHM FOR CONSTRUCTION OF A SYSTEM OF LINEAR EQUATIONS WITH PSEUDOSPARSE MATRIX IN SOLVING ELECTRODYNAMIC PROBLEM BY INTEGRAL EQUATIONSJournal: Science and world (Vol.1, No. 16)
Publication Date: 2014-12-23
Authors : Alasheeva E.A.;
Page : 10-12
Keywords : wavelet function; Galerkin method; the system of linear algebraic equations; pseudosparse matrix.;
In solving different kinds of application problems in the method of integral equations is often used as mathematical apparatus. Direct application of the integral equations method is not always possible, traditional numerical methods lead to systems of linear algebraic equations with filled matrices of high order. It is connected with the huge amount of computation, particularly the problems of modeling of two-dimensional structures (such as parabolic antennas). To solve these problems it is advisable to use a wavelet system. This paper presents an algorithm for solving the two-dimensional Fredholm integral equation of the second kind, which reduces the problem of finding the solution of the current density.
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