what are the limitations of Taylor's series method for solving ordinary differential equations
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The Taylor series method is one of the earliest analytic-numeric algorithms for approximate solution of initial value problems for ordinary differential equations. ... These algorithms have several advanta- geous properties over the widely used classical methods
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The limitations of Taylor's series method for solving ordinary differential equations are:
- In Taylor's series, the continuous terms become more complex that is difficult to handle and calculate.
- In Taylor's series, the round-off error and truncation error might come that disturbs the whole calculation.
- Taylor's series method for solving ordinary differential equations is not certain and error-free.
- In Taylor's series, while solving ordinary differential equations, the calculations become time-consuming and lengthy.
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