Stability and Convergence of Advection Equation using Lax-wendero Scheme And Backward Time Central Space by python code

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) vi