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A remark on “A nonlinear mathematical model of the corneal shape”. (English) Zbl 1257.34010

Summary: An analytical method using Taylor series is proposed to solve a nonlinear two-point boundary problem arising in corneal shape. The solution process makes it extremely easy to obtain a relatively accurate solution. The pencil-and-paper solution procedure can be extended to other boundary value problems.
The paper refered to in the title is [ibid. 13, No. 3, 1498-1505 (2012; Zbl 1239.34004)] .

MSC:

34A45 Theoretical approximation of solutions to ordinary differential equations
34B60 Applications of boundary value problems involving ordinary differential equations
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
92C05 Biophysics

Citations:

Zbl 1239.34004
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Full Text: DOI

References:

[1] Okrasiński, W.; Płociniczak, Ł., A nonlinear mathematical model of the corneal shape, Nonlinear Anal.-Real, 13, 3, 1498-1505 (2012) · Zbl 1239.34004
[2] He, J. H., A short remark on fractional variational iteration method, Phys. Lett. A, 375, 38, 3362-3364 (2011) · Zbl 1252.49027
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