Related simulators
Continue with similar topics in this category — or all 85 in Math Visualization.
Advection Schemes: Upwind / LW / MacCormack
Linear advection u_t + cu_x = 0 on a periodic grid: compare upwind diffusion, Lax-Wendroff and MacCormack dispersive ringing, exact pulse translation, L2 error, and CFL ν.
Heat Equation: Finite Differences
1D heat equation u_t = αu_xx with explicit FTCS and implicit backward Euler; tune CFL r = αΔt/Δx², watch explicit blow-up for r > 1/2, and compare numerical diffusion.
Keller–Segel Chemotaxis
∂ₜn = Dₙ∇²n − χ∇·(n∇c), ∂ₜc = D_c∇²c + αn − βc; bacteria follow attractant; collapse at high χ; 96² grid.
Finite Element Poisson Solver (2D)
Triangular P1 finite elements for -Δu=f on a square: assemble stiffness matrices, pin Dirichlet nodes or add natural Neumann flux, solve by CG, and view potential as a colored membrane.
MinD / MinE Oscillation (E. coli Rod)
1D reaction–diffusion: membrane MinD u, fast MinE v; pole-to-pole oscillation; division plane at time-averaged MinD minimum.
Monte Carlo π
Uniform samples in a square; 4·(in disk)/N estimates π.