- #1
Gekko
- 71
- 0
u(x,t) defined for x>0 t>0
d2u/dx2=du/dt
Conditions:
u(x,0)=0
d/dx u(0,t)=-1
u(x,t) tends to 0 as x tends to infinity
d2v/dx2 =pv
d/dx v(0,p) =-1/p
v(x,p)=integral(0 to inf) exp(-pt) u(x,t) dt
How do we use this to find v(x,p) and u(0,t)?
For u(0,t) can we simply integrate wrt x d/dx u(0,t) = -x?
Thanks in advance
d2u/dx2=du/dt
Conditions:
u(x,0)=0
d/dx u(0,t)=-1
u(x,t) tends to 0 as x tends to infinity
d2v/dx2 =pv
d/dx v(0,p) =-1/p
v(x,p)=integral(0 to inf) exp(-pt) u(x,t) dt
How do we use this to find v(x,p) and u(0,t)?
For u(0,t) can we simply integrate wrt x d/dx u(0,t) = -x?
Thanks in advance