Question

Taylor series f(xi+1)=f(xi)+f'(xi)h+(f''(xi)/2!)h2+(f'''(xi)/3!)h3+..... given f''(xi)=(-f(xi+3)+4f(xi+2)-5f(xi+1​)+2f(xi))/h2 derive the second derivative of forward finite difference  

Taylor series f(xi+1)=f(xi)+f'(xi)h+(f''(xi)/2!)h2+(f'''(xi)/3!)h3+.....

given f''(xi)=(-f(xi+3)+4f(xi+2)-5f(xi+1​)+2f(xi))/h2

derive the second derivative of forward finite difference  

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Taylor series f(xi+1)=f(xi)+f'(xi)h+(f''(xi)/2!)h2+(f'''(xi)/3!)h3+..... given f''(xi)=(-f(xi+3)+4f(xi+2)-5f(xi+1​)+2f(xi))/h2 derive the second derivative of forward finite difference n=3 what is...
Taylor series f(xi+1)=f(xi)+f'(xi)h+(f''(xi)/2!)h2+(f'''(xi)/3!)h3+..... given f''(xi)=(-f(xi+3)+4f(xi+2)-5f(xi+1​)+2f(xi))/h2 derive the second derivative of forward finite difference n=3 what is the order of error
3) If f=f(x, y), derive a forward finite difference approximation of 3rd order accuracy, O(h³), for...
3) If f=f(x, y), derive a forward finite difference approximation of 3rd order accuracy, O(h³), for ∂f/∂x.
Use forward and backward difference approximations of O(h) and a centered difference approximation of O(h^2 )...
Use forward and backward difference approximations of O(h) and a centered difference approximation of O(h^2 ) to estimate the first and second derivatives of f(x)= 0.4x^5 ‐0.2x^3 +6x^2 ‐13 at x=2 using a step size h=1. Repeat the computation using h values of 0.5, 0.25, and 0.1. Compare your results with the exact derivative value at x=2.
Suppose f(3) = 2 and f'(3) = −1. a. If h(x) = x^2f(x), compute h'(3). b....
Suppose f(3) = 2 and f'(3) = −1. a. If h(x) = x^2f(x), compute h'(3). b. If k(x) = f(x)/x, compute k'(3).
Find the second degree polynomial of Taylor series for f(x)= 1/(lnx)^3 centered at c=2. Write step...
Find the second degree polynomial of Taylor series for f(x)= 1/(lnx)^3 centered at c=2. Write step by step.
Given the function h(x)=e^-x^2 Find first derivative f ‘ and second derivative f'' Find the critical...
Given the function h(x)=e^-x^2 Find first derivative f ‘ and second derivative f'' Find the critical Numbers and determine the intervals where h(x) is increasing and decreasing. Find the point of inflection (if it exists) and determine the intervals where h(x) concaves up and concaves down. Find the local Max/Min (including the y-coordinate)
1. Consider the function f(x) = 2x^2 - 7x + 9 a) Find the second-degree Taylor...
1. Consider the function f(x) = 2x^2 - 7x + 9 a) Find the second-degree Taylor series for f(x) centered at x = 0. Show all work. b) Find the second-degree Taylor series for f(x) centered at x = 1. Write it as a power series centered around x = 1, and then distribute all terms. What do you notice?
Write the Taylor series for the function f(x) = x 3− 10x 2 +6, using x...
Write the Taylor series for the function f(x) = x 3− 10x 2 +6, using x = 3 as the point of expansion; that is, write a formula for f(3 + h). Verify your result by bringing x = 3 + h directly into f (x).
The second-order Taylor polynomial fort he functions f(x)=√1+x about X0= is P2=1+(x/2)-(x^2/2) using the given Taylor...
The second-order Taylor polynomial fort he functions f(x)=√1+x about X0= is P2=1+(x/2)-(x^2/2) using the given Taylor polynomial approximate f(0.05) with 2 digits rounding and the find the relative error of the obtained value (Note f(0.05=1.0247). write down the answer and all the calculations steps in the text filed.
Derive the Fourier series for the function f(x) = x + 1/2 for −1 < x...
Derive the Fourier series for the function f(x) = x + 1/2 for −1 < x < 1; plot the function and its Fourier series for −3 < x < 3.