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Analytic solution of the 1d Wave Equation

version 1.0.4 (3.68 KB) by Manuel A. Diaz
Computing the exact solution for a Gaussian profile governed by 1-d wave equation with free flow BCs or with perfectly reflecting BCs.

25 Downloads

Updated 20 May 2021

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I constructed this solution to verify the accuracy and stabitlity of some FD-compact schemes.
This solution, was obtained throught greens function approach using the method of images. (These details are not given here. I only write/compute the final expression from the analysis).
I believe, it will be very usefull for those looking to verify the accurary of numerical boundary conditions of linearized froms of Euler and/or Navier-Stokes equations.
Happy coding! : )

Cite As

Manuel A. Diaz (2021). Analytic solution of the 1d Wave Equation (https://www.mathworks.com/matlabcentral/fileexchange/92448-analytic-solution-of-the-1d-wave-equation), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2019b
Compatible with any release
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1dWaveEqExactSolution