.. _diffusion-time_poisson_explicit: diffusion/time_poisson_explicit.py ================================== **Description** Transient Laplace equation. The same example as time_poisson.py, but using the short syntax of keywords, and explicit time-stepping. Find :math:`T(t)` for :math:`t \in [0, t_{\rm final}]` such that: .. math:: \int_{\Omega} s \pdiff{T}{t} + \int_{\Omega} c \nabla s \cdot \nabla T = 0 \;, \quad \forall s \;. .. image:: /../doc/images/gallery/diffusion-time_poisson_explicit.png :download:`source code ` .. literalinclude:: /../sfepy/examples/diffusion/time_poisson_explicit.py