A nonlinear mathematical model of the corneal shape

被引：31
作者：
Okrasinski, Wojciech [1 ]
Plociniczak, Lukasz [1 ]
机构：
[1] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50372 Wroclaw, Poland
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 03期
关键词：
Corneal shape; Mathematical model; Nonlinear differential equation; Boundary value problem;
D O I：
10.1016/j.nonrwa.2011.11.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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%. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1498 / 1505
页数：8
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