AN EXPLICIT ESTIMATE FOR APPROXIMATE SOLUTIONS OF ODES BASED ON THE TAYLOR FORMULA
Abdulla Kh. AbdullayevV.I. Romanovskiy Institute of Mathematics of Uzbekistan Academy of Sciences,
9 University Str., 100174 TashkentАбдулла АзамовV.I. Romanovskiy Institute of Mathematics of Uzbekistan Academy of Sciences, 9 University Str., 100174 TashkentMarks RuziboevKimyo International University, 156 Shota Rustaveli Str., 100121 Tashkent
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In this paper, we consider a third-order explicit scheme based on Taylor's formula to obtain an approximate solution for the Cauchy problem of systems of ODEs. We prove an estimate for the accuracy of the approximate solution with an explicit constant that depends only on the right-hand side of the equation and the domain of the solution.
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