The finite difference method for the heat equation on Sierpiński simplices

DOI10.1080/00207160.2018.1517209zbMath1499.65427arXiv1802.09925OpenAlexW2964230707MaRDI QIDQ5031826

Nizare Riane, Claire David

Publication date: 16 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.09925

zbMATH Keywords

heat equationfinite difference methodLaplacianSierpiński simplices

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractals (28A80) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (3)

Sierpiński gasket versus Arrowhead curve ⋮ The finite volume method on Sierpiński simplices ⋮ Optimal control of the heat equation on a fractal set

Cites Work

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• On eigenvalue problems for the random walks on the Sierpinski pre- gaskets
• On a spectral analysis for the Sierpiński gasket.
• Fractal differential equations on the Sierpiński gasket
• Harmonic analysis for resistance forms.
• Taylor approximations on Sierpinski gasket type fractals
• Energy form on a closed fractal curve
• Harmonic Calculus on P.C.F. Self-Similar Sets
• A harmonic calculus on the Sierpinski spaces
• The finite element method on the Sierpinski gasket

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