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An Idea to Compute DtN Maps of PDE with Constant Coefficients

An Idea to Compute DtN Maps of PDE with Constant Coefficients

Consider the following problem related to an ordinary differential equation: ‘For given constans ua,ub,M,N, function f(x) in [a,b], find ∂u/∂n at x = a,b which satisfies u″+Mu′+Nu = f in (a,b), u(a) = ua,u(b) = ub.’ This kind of problem is called the “Dirichlet‐Neumann map problem”. This problem is usually …