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ajthor
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burgers-dedalus

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spatial_coordinates
listlengths
1.02k
1.02k
u_initial
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1.02k
1.02k
u_trajectory
listlengths
1
201
time_coordinates
listlengths
1
201
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KdV-Burgers Equation Dataset

Numerical solutions to the 1D Korteweg-de Vries-Burgers equation.

Sample Plot

Variables

  • spatial_coordinates: (1024,) - x-axis grid points
  • u_initial: (1024,) - initial condition values
  • u_trajectory: (time_steps, 1024) - solution evolution
  • time_coordinates: (time_steps,) - time points

Parameters

  • Domain: [0, 10]
  • Grid points: 1024
  • Time range: [0, 10]
  • Equation: ∂u/∂t + u∂u/∂x = a∂²u/∂x² + b∂³u/∂x³
  • Coefficients: a = 1e-4, b = 2e-4
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Size of downloaded dataset files:
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Number of rows:
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