Article

Article title THE SCHEME OF A DIFFERENCE SOLUTION OF THE ORDINARY DIFFERENTIAL EQUATIONS WITH THE RAISED ACCURACY ON THE BASIS OF NEWTON’S INTERPOLATIONAL POLYNOMIAL
Authors Ya.E. Romm, G.A. Dzhanunts
Section SECTION I. MATHEMATICAL METHODS OF SYNTHESIS OF SYSTEMS
Month, Year 05, 2009 @en
Index UDC 681.3.06:681.323(519.6)
DOI
Abstract The computer scheme of a difference solution of a Cauchy problem for the ordinary differential equations on a basis of a piecewise-polynomial approximation of functions by means of Newton"s interpolational polynomial is stated. The scheme possesses properties of analytical and difference approach, allowing to calculate a solution in central points with a difference pitch and in gaps between them owing to interpolation. It is shown, that the scheme raises accuracy of a Runge-Kutt method on three decimal order on average.

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Keywords Computer; scheme; average.
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