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How to prescribe both the dependent variable and its derivative at boundary?
Posted 4 juin 2021, 04:18 UTC−4 1 Reply
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Hi there,
I am trying to solve a set of differential equations, defined at x belongs to [0,1] as
L1[u1(x),u2(x),u3(x)]=0,
L2[u1(x),u2(x),u3(x)]=0,
L3[u1(x),u2(x),u3(x)]=0, as well as,
u1(0)=0, u2(0)=0, u1(1)=0, u2(1)=0, u3(1)=0, u3x(0)=0, u3x(1)=0, B[u3(0)]=0, where
L1,L2,L3 and B are derivative operators. The first 7 are enforced boundary conditions, while the last is a natural boundary condition.
The "Weak Form PDE" interface is employed. The enforced boundary conditions, viz., u1(0)=0, u2(0)=0, u1(1)=0, u2(1)=0, u3(1)=0, are prescribed by Dirichlet boundary condition.
****I don't know how to prescribe the rest two enforced boundary condtions,u3x(0)=0 and u3x(1)=0.
Any suggestion is most welcomed.
Best HC
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I tried to use boundary flux/source, like
However, in the view of the solution, the boundary condition u3x(1)=0 is not enforced.