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Questions on the use of numerical functions NIntegrate and NDSolve.

5 votes
2 answers
1k views

BC for transport equation using NDSolve

First I can solve a transport equation with a source (Is it still called transport equation?) using DSolve. The form of the source serves only as an example. It can be anything. sol1 = DSolve[ …
wdg's user avatar
  • 1,189
5 votes
2 answers
2k views

NDSolve: Normalizing at every step

Suppose I have an transport equation with an initial conditions: sol = NDSolve[{D[y[x, t], t] - 4 D[y[x, t], x] == 0, y[x, 0] == 1/Sqrt[2 \[Pi]] Exp[-(x)^2/2], y[10, t] …
wdg's user avatar
  • 1,189
6 votes
0 answers
139 views

Modify NDSolve`StateData (if possible)

I am trying to solve a PDE that needs to be scaled constantly (refer to this). @andre suggests I modify NDSolve`StateData. Now, the problem is, I'm not used to the object-oriented side of Mathematic …
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  • 1,189