Question

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

Answer 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

Answer 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.