Lecture 1 Slides - 9/10/2010 ECOR2606 TheBigPicture...

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9/10/2010 1 Real World Problem Apply engineering knowledge to get desired ECOR 2606–The Big Picture Formulation for Solution Selection of Appropriate Numerical Method The final solution should be checked. output in terms of known inputs. Computer Solution of Problem Problem: A skydiver jumps from a balloon (hence no initial velocity). Downward force due to gravity: F D = mg Upward force due to air resistance: F U = c d v 2 What is the skydiver’s velocity as a function of time? A little modelling produces a differential equation: An analytical solution can be obtained fairly easily 2 2 v m c g dt dv m v c mg m F F m F a d d U D An analytical solution can be obtained fairly easily: t m gc c gm t v d d tanh ) (
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9/10/2010 2 But suppose that the math was a little too scary…. In this case we could resort to using numerical methods. The following becomes exact as
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This note was uploaded on 10/18/2010 for the course ECOR2606 2606 taught by Professor Aaaa during the Spring '10 term at Carleton CA.

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Lecture 1 Slides - 9/10/2010 ECOR2606 TheBigPicture...

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