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Radiation Boundary Condition for Wave Equation in Coefficient for PDE

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Hi, I'm currently working with a 1-D wave equation in the Coefficient Form PDE physics.

I want to specify a boundary as an open boundary/ radiation boundary as I do not want any reflection of the incident wave. According to some sources I've referred, an open boundary for 1-D wave equation can be written as a propagation equation

with c being the velocity going outwards.

I would like to know if there is a way to specify this boundary condition for in the Coeffcient Form PDE, preferably without have to deal with weak form expressions.

Many thanks in advance.


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