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What is Taylor Expansion for ODE Solutions about?

This document discusses various methods for solving ordinary differential equations (ODEs) using Taylor expansion. It begins by describing the inefficient method of repeated differentiation to generate Taylor coefficients. More efficient recursive methods are then presented to calculate the coefficients, including using symbolic algebra packages. The most efficient method converts the Taylor expansion to a Padé rational form at each step to integrate through poles accurately with coarse step sizes. Referenc

Author

rafidabrar42

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EN