APPLICATION OF THE GENERALIZED TAYLOR – BIRKHOFF SERIES FOR SOLVING OF THE INITIAL VALUE PROBLEM FOR ORDINARY DIFFERENTIAL EQUATIONS
Abstract
In this paper we propose application of the modified generalized Taylor – Birkhoff series, based on the atomic function up(x), for solving of the initial value problem for the ordinary differential equations and systems of differential equations. The explicit formulas for the basic functions of the modified generalized Taylor – Birkhoff series up to the third order are given.
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