Show that in the limit ?x ? 0 ?y ? 0 ?r ? 0 the difference is equivalent to the two-dimensional version of the differential
GIVEN
Difference equation,
SHOW
(a) In the limit ?x , ?y, and ?r ? 0 the difference equation is equivalent to the two-dimensional
version of the differential equation,
We have by definition
is equivalent to
so the difference equation becomes
which is equivalent to the two-dimensional version as required.
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