Q1. Using Crank-Nicolson F-D scheme, find for and when satisfies (10 M)
(Use central difference formula for derivative boundary condition)
Q2. Let satisfies
With
If is fixed, Find the values and
at intermediate grid points using central difference scheme with equal step lengths as (10 M)
Q3. Use the method of Characteristics to find the first approximation to the solution of
, at the first characteristic grid point between
and
where and . (10 M)
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