Abstract
In this paper we give a mathematical analysis with numerical computation for a groundwater flow problem described by an elliptic equation of the form in a semi-infinite vertical region bounded on top by a sloping sinusoidal curve, under given boundary conditions. represents the hydraulic head and edz represents the relative hydraulic conductivity (or permeability). We reduce the problem to an infinite system of linear equations using the method of separation of variables and construction of a Grammian matrix. Truncation of this system yields an approximate solution that gives the best match on the top boundary. Computational results for some typical parameters are presented.
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