Uniform Enclosure of High Order for Boundary Value Problems by Monotone Discretization*
نویسندگان
چکیده
In the investigation of boundary value problems the construction of a twosided inclusion of the solution can be as important as a numerical approximation of the solution itself. In the present paper we analyze a monotone discretization technique of higher order based upon piecewise interpolation and shifting such that bounding upper and lower solutions are obtained. The monotone discretization under consideration takes advantage of the property of the operator to be of monotone kind.
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