Open AccessArticle
Numerical Solutions of ODEs using Volterra Series
Н. Киров,Michail Krastanov-2006-01-01-Scholar Electronic Repository of the New Bulgarian University (New Bulgarian University)
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TL;DRAbstract
We propose a numerical approach for solving systems of nonautonomous ordinary di®erential equations under suitable assumptions. This approach is based on expansion of the solutions by Volterra series and allows to estimate the accuracy of the approximation. Also we can solve some ordinary di®erential equations for which the classical numerical methods fail.
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We propose a numerical approach for solving systems of nonautonomous ordinary di®erential equations under suitable assumptions. This approach is based on expansion of the solutions by Volterra series and allows to estimate the accuracy of the approximation. Also we can solve some ordinary di®erential equations for which the classical numerical methods fail.
Keywords
MathematicsOdeSeries (stratigraphy)Applied mathematicsNumerical analysisVolterra integral equationOrdinary differential equationNumerical stability
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