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finite difference method

Finite Difference Method Boundary conditions at corner

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I am implementing finite difference scheme for the simple 2D Laplace
equation. I am facing problem in imposing boundary conditions in 9-point
stencil. What boundary conditions should I give at the vertex i.e. at
the corner where two boundaries intersect.

e.g.- For square plate what should be boundary condition at four vertices?

What should be the boundary condition at vertices in Dirichlet problem?either homogeneous or non-homogeneous?

Please help in this regard. 

lqkhai's picture

Find eigenvalues of the coupled differential equations by Finite Difference Method.

Hello everybody,

The coupled differential equations need to solve as following:

Could you help me to discretize this systems and find the eigenvalue λ  numerically using finite difference method?

 

Thanks in advance,

 

lqkhai 

Ajit R. Jadhav's picture

Why not use FDM in solid mechanics?

Finite Difference Method (FDM) and the related techniques such as FVM, are often found put to great use in fluid mechanics. See any simulation showing not only streamlines but also vortex shedding, turbulent mixing, etc.

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