Math, asked by devnderbaghel, 9 months ago

what are the limitations of Taylor's series method for solving ordinary differential equations

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Answered by Bala7600
1

Answer:

Step-by-step explanation:

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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Answered by SteffiPaul
2

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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