UDC 512.552.22:517.952
1 Prydniprovs’ka State Academy of Civil Engineering and Architecture, Dnipro, Ukraine
 bazilvch@ukr.net
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2 National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine
kostushkoia5@gmail.com
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SOLVING A SYSTEM OF FIRST-ORDER PARTIAL DIFFERENTIAL EQUATIONS
USING DECOMPOSITION METHODS
Abstract. The system of equations is simplified by decomposition into several independent subsystems
or by hierarchical (sequential) decomposition. The algebraic methods are developed, which reduce the matrix
of coefficients to a block-diagonal or block-triangular form. This significantly simplifies the problem and often makes it possible to obtain an analytical solution.
Keywords: matrices, similarity transformations, partial differential equation, decomposition.
full text
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