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Should write up something about linear problems at some point. For example, showing how to write common problems like a linear heat equation (or linear with a space-varying, $u$-invariant diffusivity), a mean exit time problem, or Laplace's equation in the form
which can then be solved using the linear problem features in DifferentialEquations.jl. I don't want to create a whole interface for this (as I initially proposed in #17) since there's a few annoying things to deal with, but showing how it can be done is a good idea.
The text was updated successfully, but these errors were encountered:
*I don't mean I'll add an interface for this (I could probably work out what might be a good approach for it, but working it in within the existing interface is a bit difficult, mostly because of the boundary conditions making everything complicated when working with vectors). But I'll make it easy to show how it can be done.
Should write up something about linear problems at some point. For example, showing how to write common problems like a linear heat equation (or linear with a space-varying,$u$ -invariant diffusivity), a mean exit time problem, or Laplace's equation in the form
which can then be solved using the linear problem features in DifferentialEquations.jl. I don't want to create a whole interface for this (as I initially proposed in #17) since there's a few annoying things to deal with, but showing how it can be done is a good idea.
The text was updated successfully, but these errors were encountered: