EQUAL TRANSFORMATIONS OF DIFFERENTIAL EQUATIONS OF TWO OR LARGE NUMBER OF VARIABLES
Keywords:
Mathematical modelling of dynamic systems, Equivalent transformations of differential equations, iterative methods, computer implementation of mathematical modelsAbstract
The paper deals with the problem of transformations of a wide class of mathematical models, which are based on systems of differential equations, into a form that provides an effective computational implementation. The equivalence of the proposed transformations, which simplify the modelling process on multiprocessor computing platforms, is proved. The approach to effective numerical solution of differential equations on modern computer systems on the basis of the offered transformations has been shown.
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