an:06044768
Zbl 1239.34004
Okrasi??ski, Wojciech; P??ociniczak, ??ukasz
A nonlinear mathematical model of the corneal shape
EN
Nonlinear Anal., Real World Appl. 13, No. 3, 1498-1505 (2012).
00295845
2012
j
34A05 37N25 92C05
corneal shape; mathematical model; nonlinear differential equation; boundary value problem
Summary: 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\%.