谁微分方程厉害的?帮个忙# GeoSpace - 地球与空间科学
k*n
1 楼
我在做个题,
就是INSTANTANIOUS HEATING OF A SEMI-INFINITE PLATE.
一维的.在SCHUBERT AND TURCOTTE的GEODYNAMICS书里有.
半无限的平面.
at time t=0, temperature is T0 everywhere.
at time t>0, temperature at the boundary is Ts at y=0.
at y-> infinite, temperature is still T0.
这个问题是有解了,就是那个什么ERROR FUNCTION.
但我现在的问题是要把Ts弄成TIME DEPENTENT.
假设那是地核的话,外面导热,温度要降低,
我自己算的好象是
ln(Ts) = sqrt (kappa*t/pi).
不过我改的程序好象是给出ln(Ts) proportional to t (not t^(1/2)).
有没有高手看一看啊?
就是INSTANTANIOUS HEATING OF A SEMI-INFINITE PLATE.
一维的.在SCHUBERT AND TURCOTTE的GEODYNAMICS书里有.
半无限的平面.
at time t=0, temperature is T0 everywhere.
at time t>0, temperature at the boundary is Ts at y=0.
at y-> infinite, temperature is still T0.
这个问题是有解了,就是那个什么ERROR FUNCTION.
但我现在的问题是要把Ts弄成TIME DEPENTENT.
假设那是地核的话,外面导热,温度要降低,
我自己算的好象是
ln(Ts) = sqrt (kappa*t/pi).
不过我改的程序好象是给出ln(Ts) proportional to t (not t^(1/2)).
有没有高手看一看啊?