02ddd2dm2msi
si
ll1si
21x222xll10x令cosdddxdx1x2
b在柱坐标系中
1u1uuuZzzR0zz
202m012AcosmBsi
mm222dRdR21dz01R1RmZRd2RdzdzRR2Z
f1REmFm0zCDzd2RdRzzx22xx2m2R0x0zCeDedxdxd2RdR0zCcoshzDsi
hzh2x22xx2m2R0dxdx


xh
§402波动方程
utta23u0
T2k2a2T0TtCcoskatDsi
kat令urtTtVr23VkV0亥姆霍兹方程


§403输运方程
2utau03
22Tk2a2T0TtCekat令urtTtVr23VkV0亥姆霍兹方程


§403亥姆霍兹方程在球坐标系中：
3Vk2V0
2V1V12Vrsi
2k2Vr202rrsi
si

1Y12Ysi
2ll1Y0si
VrRrYsi
22r2dR2rdRR2r2ll1R0dr2dr
0AcosmBsi
m2m2m0122dm22dxcos1x22xll10l阶缔合勒让德方程dxdx1x2
f2xkrx2dyxdyx2lr