Abstract
The high-order boundary conditions for the problems of Laplace equation in infinite region have been developed. The improvement in accuracy for numerical solution is achieved by imposing the high-order boundary conditions on the exterior boundary of a reduced finite region in which the numerical method is used. So both the computing efforts and the required storage in computer are reduced. The numerical examples show that the 1st-order boundary condition approaches to the exact boundary condition and it is clearly superior to the traditional boundary condition and the 2nd-order boundary condition.
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