Show that the interior Neumann boundary value problem (3.57) ca... | Filo
Show that the interior Neumann boundary value problem (3.57) ca..…
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SOLVED:Compatibility of boundary conditions in Neumann problems. A Neumann problem on a rectangle R is a boundary value problem consisting of Laplace's equation and Neumann boundary conditions: ∇^2 u(x, y)=0 for all (x, y) in R, and (∂Z∂n)/(u)(x, y)=f(x, y) for all (x, y) on the boundary of R. In this problem, all sides are exchanging heat with the surrounding medium at a rate given by f. The total flux of heat is the integral of f along the boundary of R. Since u is a steady-state solution, the
SOLVED:Compatibility of boundary conditions in Neumann problems. …
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