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by Ciro Santilli (@cirosantilli, 37)

Time dependent boundary condition

 Home Mathematics Area of mathematics Calculus Differential equation Boundary condition
 0 By others on same topic  0 Discussions  Updated 2025-05-29  +Created 1970-01-01  See my version
Most commonly, boundary conditions such as the Dirichlet boundary condition are taken to be fixed values in time.
But it also makes sense to think about cases where those values vary in time.
Some bibliography:
  • math.stackexchange.com/questions/261251/heat-equation-with-time-dependent-boundary-conditions
  • secure.math.ubc.ca/~peirce/M257_316_2012_Lecture_20.pdf

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