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arXiv · 1809.06717

Efficient solver for a special class of convection-diffusion problems

Narain Karedla·Jan Christoph Thiele·Ingo Gregor·Jörg Enderlein
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Abstract

We describe an exact and highly efficient numerical algorithm for solving a special but important class of convection-diffusion equations. These equations occur in many problems in physics, chemistry, or biology, and they are usually hard to treat due to the presence of a convection term, represented by a first order derivative in the spatial co-ordinate. Our algorithm reduces the convection-diffusion equation to a pure diffusion problem within a complex-valued potential which can be solved efficiently and accurately using conventional parabolic partial differential equation solvers.

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Narain Karedla, Jan Christoph Thiele, Ingo Gregor, Jörg Enderlein. 2018-09-16. Efficient solver for a special class of convection-diffusion problems. https://doi.org/10.1063/1.5079965

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