Consider the function f(x)=ex and a point x0=2 . 1) Find the truncation error for backward differences with h=1, h=0.1, h=0.01, h=0.001 and figure out the relationship of error with the order of h . Keep up to six decimal places.
Consider the function f(x)=ex and a point x0=2 . 1) Find the truncation error for backward differences with h=1, h=0.1, h=0.01, h=0.001 and figure out the relationship of error with the order of h . Keep up to six decimal places.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the function f(x)=ex and a point x0=2 .
1) Find the truncation error for backward differences with h=1, h=0.1, h=0.01, h=0.001 and figure out the relationship of error with the order of h . Keep up to six decimal places.
2) Suppose your data is time dependent. That is you only get a new data at current time stamp and you can not look into the future. Which divided difference method will you use to find the derivative?
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