求解区域中带有复值边界条件的偏微分方程
求解带有复值边界条件的拉普拉斯方程.
In[1]:=
ifun = NDSolveValue[{-\!\(
\*SubsuperscriptBox[\(\[Del]\), \({x, y}\), \(2\)]\(u[x, y]\)\) ==
1 + NeumannValue[I, x < 0],
DirichletCondition[u[x, y] == 0, x > -0]},
u, {x, y} \[Element] Disk[]]
Out[1]=
可视化求解结果.
In[2]:=
Plot3D[{Re[ifun[x, y]], Im[ifun[x, y]]}, {x, y} \[Element] Disk[],
PlotTheme -> "Detailed"]
Out[2]=