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Heat Equation, Burgers Equation, and Kuramoto-Sivashinsky Equation Datasets
The dataset used for training and testing the neural network for linearizing the heat equation, Burgers equation, and Kuramoto-Sivashinsky equation. -
Burgers equation
Synthetic data set of the Burgers equation ut = νuxx − uux, with a delta peak initial condition u(x, t = 0) = Aδ(x) and domain t ∈ [0.1, 1.1], x ∈ [−3, 4].