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Question: Is it possible to solve piecewise differential equations directly

Question:Is it possible to solve piecewise differential equations directly

Muhammad Ali 75 Maple
student solve piecewise region pde numeric dynamics condition pieces
July 12 2014
1

Is it possible to solve piecewise differential equations directly instead of separating the pieces and solving them separately.

like for example if i have a two dimensional function f(t,x) whose dynamics is as follows:

dynamics:= piecewise((t,x) in D1, pde1, pde2); where D1 is some region in (t,x)-plane

now is it possible to solve this system with one pde call numerically?

pde(dynamics, boundary conditions, numeric); doesnot work
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