f77_exact, a Fortran77 code which evaluates exact solutions to a few selected examples of ordinary differential equations (ODE) and partial differential equations (PDE).
These exact solutions can be used to test out the correctness of a solution algorithm.
The information on this web page is distributed under the MIT license.
f77_exact is available in a C version and a C++ version and a Fortran77 version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.
burgers_exact, a Fortran77 code which evaluates several exact solutions u(x,t) of the time-dependent 1D viscous Burgers equation.
continuity_exact, a Fortran77 code which returns a 2D velocity vector field (u,v)(x,y) which is an exact solution of the partial differential equation (PDE) sometimes called the continuity equation of fluid mechanics, which has the form ux + vy = 0.
navier_stokes_2d_exact, a Fortran77 code which evaluates an exact solution to the incompressible time-dependent Navier-Stokes equations (NSE) over an arbitrary domain in 2D.
navier_stokes_3d_exact, a Fortran77 code which evaluates an exact solution to the incompressible time-dependent Navier-Stokes equations (NSE) over an arbitrary domain in 3D.
stokes_2d_exact, a Fortran77 code which evaluates exact solutions (u,v,p)(x,y) to the incompressible steady Stokes equations in 2D, which are a system of partial differential equations (PDE) of the form: -uxx-uyy+px=f, -vxx-vyy+py=g, ux+vy=h.