solution of system of coupled partial differential equations
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student_md on 11 Jul 2017
Answered: Precise Simulation on 4 Aug 2017
Precise Simulation on 4 Aug 2017
One way to approach this is, due to the 2nd derivative in time, to split the time dependent variables into
du1/dt = u1h
du1h/du = rest of the equation
as typical for the wave equation fem simulations, and using Hermite finite element shape functions to account for the 4th order derivative, as done here for the Euler-Bernoulli beam deformation simulation.
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