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We wish to solve equation (5)
by a method involving splitting.
Since equation (5)
is an unfamiliar one,
we turn to the heat-flow equation
which besides being familiar, has no complex numbers.
A two-sentence derivation of the heat-flow equation follows.
(1) The heat
flow Hx in the x-direction equals the
negative of the gradient
of
temperature T times the heat conductivity
.(2) The decrease of temperature
is
proportional to the divergence
of the heat flow
divided by
the heat storage capacity C of the
material.
Combining these, extending from one
dimension to two, taking
constant and
,gives the equation
|  |
(6) |
Next: Splitting
Up: SPLITTING AND SEPARATION
Previous: SPLITTING AND SEPARATION
Stanford Exploration Project
12/26/2000