具体过程: (1)、作代换: l(x2,)=V(x,)+W(x,t) (2)、将代换式代入定解问题中得: Vh +w=av+aw+f(x, t), (0<x<L, t>0) + (1)V-2+W|=a W V1+W10=0(x)|=0+10=v(x)0.8 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 4 具体过程： (1)、作代换： (2)、将代换式代入定解问题中得： u(x,t) = V(x,t) +W(x,t) 2 2 0 0 1 2 0 0 0 0 ( , ),(0 , 0) ( ), ( ) ( ), ( ) tt tt xx xx x x x L x L t t t t V W a V a W f x t x L t V W u t V W u t V W V W x x t t   = = = = = = = =   + = + +      + = + =     + = + =   