A first order initial value problem is solved using Euler$$s method.

If we reduce the step size h$=$xi$+1$xi

to half of it$$s previous value, how do you expect the local and global truncation errors of the solution to change?

Question $8$Select one:

a$.$

local and global error will be a quarter and a half of their previous values, respectively

b$.$

local and global errors will be about a quarter of their previous values

c$.$

local and global errors will be about a half of their previous values

d$.$

local and global errors will be a half and a quarter of their previous values, respectively