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math.NA2018★ 7 cited
The Finite Difference Method, for the heat equation on Sierpiński simplices
Nizare Riane, Claire David
In the sequel, we extend our previous work on the Minkowski Curve to Sierpiński simplices (Gasket and Tetrahedron), in the case of the heat equation. First, we build the finite dif…
math.NA2017
The Finite difference method for the Minkowski Curve
Nizare Riane, Claire David
In this work, we describe how to approximate solutions of some partial differential equations using the finite difference method defined on the Minkowski self-similar curve.