Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. 1 the forward difference formula can be expressed

1 The forward difference formula can be expressed as h xo xo h xo ro...

60.1K

Verified Solution

Question

Basic Math

image

1 The forward difference formula can be expressed as h xo xo h xo ro 0 h Use Richardson extrapolation to derive an O h formula for f ro In addition obtain a table similar to the one appearing at the end of Lecture Note 15 EXAMPLE 6 5 Extrapolating the Derivative of the Natural Logarithm Let s reconsider the approximation of the derivative of the function f x Inx using the second order central difference approximation formula With xo 2 we ind h 0 1 0 05 0 025 Dh f zo h f zo h Error 2h 0 500417292 0 500104205 0 500026043 h 0 1 0 05 4 17 x 10 4 1 04 x 10 4 2 60 x10 5 Applying the extrapolation formula to these results produces 4Dh 2 Dh 3 Error 0 499999842 1 58 x 10 7 0 499999989 1 10 x10 8 Not only has the approximation error been significantly reduced as a result of extrapolation the cut in error due to the cut in the step size is also larger In par iouler it onnoers on if the extrapolated values are fourth order opproximations

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

C++ Please For this assignment, you will write a program that lets the user play against the...

Programming
Q

Consider the initial value problem mx??+cx?+kx=F(t),   x(0)=0,   x?(0)=0 modeling the motion of a spring-mass-dashpot system initially at rest and subjected...

Advance Math
Q

The following selected account balances were taken from ABC Company's accounting records during 2018: January 1,...

Accounting
Q

4. Which of the following cells are antigen presenting cells? Select the best answer.a. B...

Biology
Q

Which of the following statements are correct regarding transpiration and evaporation 1 Transpiration is the...

Biology
Q

Two concentric circular loops of radii cm and 14 cm are place in the Y...

Physics
Q

The five number summary of a dataset was found to be 0 1 9 18...

Statistics
Q

Victor Mineli, the new controller of Carla Vista Co, has reviewed the expected useful lives...

Accounting
Q

Estimating Share Value Using the DCF Model Following are forecasts of sales, net operating profit...

Accounting
Q

PLEASE PLEASE ANSWER WITHIN THE NEXT TWO HOURS ITS DUE TONIGHT IM BEGGING SOMEONE PLS...

Accounting
Q

Case A: The company chronically has no idle capacity and the old Model B100 machine...

Accounting
Q

1. Assume the Australian dollar is equal to $.44 and the Thai baht is equal...

Finance