Abstract
A standard initial-boundary value problem which commonly appears in the theory of groundwater flow through porous media is converted to a boundary integral equation (BIE). The original problem, which evidently has remained unsolved for three decades, can be solved using this BIE approach if a certain driving term can be determined. This paper describes how this driving term can, itself, be determined explicitly as a solution to a mixed Fredholm Volterra integral equation over an infinite domain. The solution of this equation is computable via an approximating system of ordinary differential equations in the time variable.
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