17 September 2021 9:31:09.525 AM FD1D_ADVECTION_LAX: FORTRAN90 version 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 modify the FTCS approach using the Lax method: du/dt = (u(t+dt,x)-0.5*u(t,x-dx)-0.5*u(t,x+dx))/dt 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 = 1.00000 CFL condition: dt ( 0.100000E-02) <= dx / c ( 0.100000E-01) Plot data written to the file "fd1d_advection_lax_data.txt". Gnuplot command data written to the file "fd1d_advection_lax_commands.txt". FD1D_ADVECTION_LAX Normal end of execution. 17 September 2021 9:31:09.528 AM