Article ID Journal Published Year Pages File Type
837794 Nonlinear Analysis: Real World Applications 2012 8 Pages PDF
Abstract

In this paper, we consider a nonlinear two-point boundary value problem which is derived as a description of corneal shape. We prove some basic results concerning existence, uniqueness and estimates. We suggest some approximate solution fitting over fifteen thousands real corneal data points with an error of order of 1%.

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Physical Sciences and Engineering Engineering Engineering (General)
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A nonlinear mathematical model of the corneal shape
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