Mathematics > Numerical Analysis
[Submitted on 17 Nov 2024]
Title:Directional diffusion splitting method for advection-diffusion-reaction model
View PDF HTML (experimental)Abstract:We propose certain approach of solving two-dimensional non-stationary and stationary advection-diffusion-reaction boundary value problems through their reduction to the set of corresponding one-dimensional problems. This method leverages special splitting and interpolation schemes, providing iterative algorithm with a large degree of parallelization possibilities. We combine that algorithm with the finite element method to solve obtained one-dimensional problems, but in fact, it can be combined also with other discretization methods, like finite volume or finite difference methods.
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