Homework Help is Here – Start Your Trial Now!
Math
Calculus
5) Show that to order O(h²), the central difference formula for the partial derivative მ3u(x,t) əx3 can be written as მ3u u(x+2h,t)-2u(x+h,t)+2u(x−h,t)—u(x-2h,t)

5) Show that to order O(h²), the central difference formula for the partial derivative მ3u(x,t) əx3 can be written as მ3u u(x+2h,t)-2u(x+h,t)+2u(x−h,t)—u(x-2h,t)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
See similar textbooks
icon
Related questions
Question

am doing past year, pls help solve with simple explanation, will rate max stars

(b) Show that to order O(h²), the central difference formula for the partial derivative a³u(x,t) can be written as əx³ 2³ u u(x+2h,t)-2u(x+h,t)+2u(x−h,t)-u(x-2h,t) əx³ 2h3
Transcribed Image Text:(b) Show that to order O(h²), the central difference formula for the partial derivative a³u(x,t) can be written as əx³ 2³ u u(x+2h,t)-2u(x+h,t)+2u(x−h,t)-u(x-2h,t) əx³ 2h3
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
SEE MORE TEXTBOOKS