The Finite difference method for the Minkowski Curve
arXiv:1710.00358h-index: 7
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It extends numerical methods to a specific fractal geometry, which is an incremental contribution for researchers in fractal analysis and computational mathematics.
The paper applies the finite difference method to solve partial differential equations on the Minkowski self-similar curve, demonstrating the feasibility of numerical approximation on fractal domains.
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.