[理工] [工數]-PDE
請問大家
這題PDE該怎麼解
Ut=Uxx+g(x,t)
U(0,t)=U(L,t)=0
U(x,0)=f(x)
0<x<L
有人說令
U(x,t)=w(x,t)+v(w,t)
=Wt+Vt=Wxx+Vxx + g(x,t)
然後Wt=Wxx和 Vt=Vxx + g(x,t)
去解
w(0,t)=0
w(L,t)=0
w(x,0)=0
Wt=Wxx
這個形式的PDE我會解
------------------------------------
v(o,t)=0
v(L,t)=0
v(x,0)=f(x)
Vt=Vxx + g(x,t)
但是這樣的PDE
是還要再用新的變數去拆嗎??
然後邊界再重寫一變
是嗎
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 122.147.18.55
推
09/10 23:29, , 1F
09/10 23:29, 1F
→
09/10 23:30, , 2F
09/10 23:30, 2F
推
09/10 23:33, , 3F
09/10 23:33, 3F
→
09/10 23:34, , 4F
09/10 23:34, 4F
推
09/10 23:34, , 5F
09/10 23:34, 5F
→
09/10 23:34, , 6F
09/10 23:34, 6F
→
09/10 23:35, , 7F
09/10 23:35, 7F
→
09/10 23:35, , 8F
09/10 23:35, 8F
→
09/10 23:53, , 9F
09/10 23:53, 9F
→
09/11 00:04, , 10F
09/11 00:04, 10F
→
09/11 00:07, , 11F
09/11 00:07, 11F
推
09/11 00:27, , 12F
09/11 00:27, 12F
→
09/11 00:28, , 13F
09/11 00:28, 13F
討論串 (同標題文章)