# Solving the Convection-Diffusion Equation in 1D Using Finite Differences

Solving the Convection-Diffusion Equation in 1D Using Finite Differences

This Demonstration shows the solution of the convection-diffusion partial differential equation (PDE) in one dimension with periodic boundary conditions. You can specify different initial conditions. Selected preconfigured test cases are available from the dropdown menu.

c=d+a

u

xx

u

t

u

x

The system is discretized in space and for each time step the solution is found using =A. The plot shown represents the solution . You can select a 3D or 2D view using the controls at the top of the display.

n+1

u

n

u

u(x,t)