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.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
icon
Related questions
Question

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?

Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning