Note 356(7) Bypasses Differential Equations

I would say that Note 356(7) bypasses differential equations completely.

Sent: 30/08/2016 15:44:00 GMT Daylight Time
Subj: Equations for a Static Electric Field in FlexPDE

This seems to be very difficult due to the nonlinearity. Finally I restricted to 1D case, eq.(10) in note 356(6). Direct solution gives errors. I tried with a staging. The first stage is ok, but when switching on the nonlinearity, the result is a mess.
Any ideas?

Horst

Am 30.08.2016 um 14:26 schrieb Horst Eckardt:

The resulting diff. eq. (10) is the same as for the radial case with electric Coulomb field, see my previous email. Next I will try to set up the eq. system (2-4) in FlexPDE for a numerical solution.

Horst

Am 29.08.2016 um 13:48 schrieb EMyrone:

These are the simultaneous differential equations (2) to (4) in general, and with the assumption (5) reduce to three independent equations (8) to (10). Eq. (10) looks interesting and could be soluble analytically for v sub Z as a function of Z. The boundary conditions chosen for Eq. (10) will be critically important.

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