# ICASE/LaRC workshop on benchmark problems in computational aeroacoustics, category 1, problem 1

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:<math> \frac{\partial u}{\partial t} +\frac {\partial u}{\partial x} =0 </math> | :<math> \frac{\partial u}{\partial t} +\frac {\partial u}{\partial x} =0 </math> | ||

- | + | :<math> u(x,0)=0.5 e^{-(ln 2) (\frac{x}{3}) ^2 }</math> | |

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+ | Computer the Numerical solution at t=100,200,300 and 400.Use a domain of [-20,450] | ||

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+ | == Exact Solution == | ||

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+ | :<math> u(x,0)=0.5 e^{-(ln 2) (\frac{x -t }{3}) ^2 }</math> | ||

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+ | == Comparison == |

## Latest revision as of 21:06, 18 February 2007

Solve the initial value problem

Computer the Numerical solution at t=100,200,300 and 400.Use a domain of [-20,450]