Fig. A.1.

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Comparison to the analytical solution. Left panel: case for B(x) = − x − 1. Right panel: case for B(x) = − x − x2. The black solid lines show the analytical solutions. The red and blue lines show numerical solutions for different resolutions for x bin: Nx = 128 and 256, respectively. In the lower panels, we show the relative error of the numerical solution to the analytical one.
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