Tutorial_2

Tutorial_2 - Tutorial2 Question1 Derive the second order...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Tutorial 2 Question 1 Derive the second order backward difference formula for ݀ ݂݀ ݔ , including the dominant truncation error term. Question 2 Suppose we have a geometrically expanding grid, where ߙ is some constant greater than one (e.g. say ߙൌ1 .2 ). (a) Find a first order accurate finite difference formula for ௗ௙ ௗ௫ that uses the 3 points ݂ , ݂ , and ݂ . (b) Could we find a more accurate formula using these 3 points? If so, derive the formula. (c) Suppose we used all 4 points, ݂ , ݂ , ݂ , and ݂ , how accurate a formula could we find for ௗ௙ ௗ௫ ? Derive the formula.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/16/2011 for the course ME 303 taught by Professor Serhiyyarusevych during the Spring '10 term at Waterloo.

Page1 / 7

Tutorial_2 - Tutorial2 Question1 Derive the second order...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online