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Using the Adams-Bashforth-Moulton method (with Runge-Kutta 4th order) to approximate the Lorenz problem. 3D result plotting using matplotlib.

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Adams-Bashforth-Moulton_LORENZ

Using the Adams-Bashforth-Moulton method (via Runge-Kutta 4th order) to approximate the Lorenz problem. Firstly starting with RK4 alone to see how the accuracy compares before implementing ABM. ABM then uses RK4 as part of its computation. I ran ABM up to n=1,000,000.

RK 4 Solo Solution: n=100,000

RK4_2D RK4

Adams-Bashforth-Moulton Solution, n=1,000,000

ABM

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Using the Adams-Bashforth-Moulton method (with Runge-Kutta 4th order) to approximate the Lorenz problem. 3D result plotting using matplotlib.

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