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(2)、若边界条件为: x=0=1(t), =L-l 作代换:l(x,t)=(x,1)+W(x,t) 得W(x,t需要满足的条件为: Wx|-0=4(O,W|=a=() 可令:(x,1)=A()x+B( W(x,D)=l41(1)x+2()-12()L0.8 1 0.6 0.4 0.2 0 x t 0 0.5 1 1.5 2 −1 −0.5 0 0.5 1 n 9 (2)、若边界条件为: 作代换: u(x,t) = V(x,t) +W(x,t) 0 1 2 ( ), ( ) u u t u u t x x x L = = = = 得W(x,t)需要满足的条件为: 0 1 2 ( ), ( ) W u t W u t x x x L = = = = 可令: W (x,t) = A(t)x + B(t) 1 2 2 W x t u t x u t u t L ( , ) ( ) ( ) ( ) = + −
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