A physics-informed neural network reproduces the Runge-Kutta solution of the complex 1D acoustic wave equation in ducts with temperature gradients to about 1e-5 relative error.
Munjal, Acoustics of Ducts and Mufflers (John Wiley and Sons Ltd., West Sussex, UK, 2014), 2nd edition
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Prediction of acoustic field in 1-D uniform duct with varying mean flow and temperature using neural networks
A physics-informed neural network reproduces the Runge-Kutta solution of the complex 1D acoustic wave equation in ducts with temperature gradients to about 1e-5 relative error.