The authors extend Forman's combinatorial differential forms with operators for scalar variables to enable intrinsic, dimension-dependent modeling of diffusion in discrete complexes.
Diffusion in heterogeneous media: An iterative scheme for finding approximate solutions to fractional differential equations with time-dependent coefficients
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Diffusion in multi-dimensional solids using Forman's combinatorial differential forms
The authors extend Forman's combinatorial differential forms with operators for scalar variables to enable intrinsic, dimension-dependent modeling of diffusion in discrete complexes.