数学物理方法课件
区
域 II 中，只有透射波u II ( x, t ) = h(t x ) a II ( x > 0)
t=0
h(
x x ) = 0, h' ( II ) = 0 II a a
h(ξ ) = 0, h' (ξ ) = 0
(ξ < 0)
衔接条件
f ( t ) + g ( t ) = h ( t ), 1 Y I [ f ' ( t ) g ' ( t )] = 1 Y II h ' ( t ) aI a II
(t > 0 )
f ( t ) + g ( t ) = h ( t ), II I I II a Y [ f ( t ) g ( t )] = a Y h ' ( t )
(t > 0 )
2 a II Y I f (ξ ) h (ξ ) = II I a Y + a I Y II a II Y I a I Y II g (ξ ) = f (ξ ) II I I II a Y +a Y
(ξ > 0 )