Abstract:
In this thesis an attempt has been made to determine stability and convergence of
nite di erence method for one dimensional advection equation using Lax-wendro
one step ,Lax-wendro two step method and Backward time central space methods
by increasing time step. To determine the stability the Fourier (von Neumann
stability condition) method was used and Python software for both explicit and
implicit scheme with increment of time step was used. The explicit scheme
is convergent and conditionally stable and implicit scheme is convergent and
unconditionally stable for any value of
by Fourier (von Neumann stability
condition)
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