Gunilla Kreiss: Differentialekvationer som matematiska ... - Skolverket
Gunilla Kreiss: Differentialekvationer som matematiska ... - Skolverket
Gunilla Kreiss: Differentialekvationer som matematiska ... - Skolverket
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@ UU/IT<br />
!<br />
y<br />
UU/IT<br />
Partiella differentialekvationer:<br />
Ljudutbredning<br />
1<br />
c<br />
!<br />
2<br />
" 2 p<br />
"t 2 = "2 p<br />
"x 2 + "2 p<br />
"y 2<br />
+ randvillkor för p<br />
x<br />
Diskretisera<br />
xi = i"x,<br />
y j = j"y,<br />
t n = n"t,<br />
n<br />
pi, j # p(xi , y j ,tn )<br />
5/14/12 | #24
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