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(Solved): Which of these multistep methods is convergent? a. xnxn2=h(fn3fn1+4fn2 ...



Which of these multistep methods is convergent?
a. \( x_{n}-x_{n-2}=h\left(f_{n}-3 f_{n-1}+4 f_{n-2}\right) \)
b. \( x_{n}-2

Which of these multistep methods is convergent? a. b. c. d. e.


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To determine the convergence of the given multistep methods, we can use the concept of consistency and stability.

A multistep method is said to be consistent if the local truncation error tends to zero as the step size h tends to zero. A method is stable if the errors in the solution remain bounded as h tends to zero.


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