07-Jan-2022 19:53:20 fd1d_advection_ftcs_test(): MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 Test fd1d_advection_ftcs(). FD1D_ADVECTION_FTCS: MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 Solve the constant-velocity advection equation in 1D, du/dt = - c du/dx over the interval: 0.0 <= x <= 1.0 with periodic boundary conditions, and with a given initial condition u(0,x) = (10x-4)^2 (6-10x)^2 for 0.4 <= x <= 0.6 = 0 elsewhere. We use a method known as FTCS: FT: Forward Time : du/dt = (u(t+dt,x)-u(t,x))/dt CS: Centered Space: du/dx = (u(t,x+dx)-u(t,x-dx))/2/dx Number of nodes NX = 101 Number of time steps NT = 1000 Constant velocity C = 1 FD1D_ADVECTION_FTCS Normal end of execution. Graphics saved as "fd1d_advection_ftcs_test.png". fd1d_advection_ftcs_test(): Normal end of execution. 07-Jan-2022 19:53:24