Tutorial_2

# Tutorial_2 - Tutorial2 Question1 Derive the second order...

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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.

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

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Tutorial_2 - Tutorial2 Question1 Derive the second order...

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