This paper presents the parallel method for state equation solving. The general idea of this method is based on the division of the integration interval into sub-intervals, in which the values of state variables are computed in parallel with the use of one of the well-known sequential numerical methods for state equation solving. Computations in particular sub-intervals require knowledge of initial conditions at the beginning of each sub-interval. In the proposed method the initial conditions are determined on the basis of an approximation of the convergence graph by the exponential function.
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