Tag Archives: laplacian

Random Walk and Differential Equations (II)

1-Dimensional Heat Equation Consider the case of 1-dimensional random walk. The equation (*) from the previous post gives: for t≥0. Suppose the intervals between successive time/space points are variable. Let’s rewrite it in the following form: Setting δt ≈ ε2 and δx ≈ ε, we divide both … Continue reading

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