wave_pde

wave_pde, a MATLAB code which uses finite differences in space, and the method of lines in time, to set up and solve the partial differential equations (PDE) known as the wave equations, utt = c uxx.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

wave_pde is available in a MATLAB version.

Related Data and codes:

advection_pde, a MATLAB code which solves the advection PDE dudt + c * dudx = 0 in one spatial dimension, with a constant velocity c, and periodic boundary conditions, using the FTCS method, forward time difference, centered space difference.

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diffusion_pde, a MATLAB code which solves the diffusion partial differential equation (PDE) dudt - mu * d2udx2 = 0 in one spatial dimension, with a constant diffusion coefficient mu, and periodic boundary conditions, using FTCS, the forward time difference, centered space difference method.

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wave_pde_test

Source Code:

• integral_pp.m, estimates the integral of a quantity over an interval, whose values are given at equally spaced points, and for which a periodic boundary condition applies.
• laplacian_pp.m, estimates the laplacian of a quantity over an interval, whose values are given at equally spaced points, and for which a periodic boundary condition applies.
• wave_conserved.m, evaluates the energy of a solution of the wave PDE.
• wave_deriv.m, returns the right hand side of the wave PDE.
• wave_exact.m, evaluates the exact solution of the wave PDE.
• wave_exact_xx.m, evaluates the exact second spatial derivative of U.
• wave_init.m, evaluates the initial condition of the wave PDE.
• wave_parameters.m, returns the parameters of the wave PDE.