Linear PDE for solution of u with more than 3 components

Asked by Louise Olsen-Kettle

Is it possible to solve a system of 4 second order partial differential equations for u with 4 components using LinearPDE? So far I've only solved for u with 3 components. ie I would like to solve for 4 variables: solving for u=[u1,u2,u3,Eps]

Or is it possible to sove for u and Eps separately as a coupled set of PDEs using LinearPDE?

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Lutz Gross (l-gross) said :
#1

yes. Use

pde=LinearPDE(domain,numEquations=4,numSolutions=4)

You need to be a bit careful with memory usage as the coefficients (in particular A) need a lot of memory if they are spatially variable.

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