Approximate Analytical Solutions for a Nonlinear Model of Corneal Curvature Using the Homotopy Perturbation Method in Conjunction with the Least Squares Method
Year: 2026
Type: article
Abstract: In this paper we apply the Homotopy Perturbation Method in conjunction with the Least Squares Method to obtain, in a simple and straightforward manner, analytical approximations of the solutions for the nonlinear models of the corneal curvature. The partially linearized version of the model is extensively studied, and we included a comparison with previous results obtained by other well-known methods. On the other hand, for the fully nonlinear version of the model, we introduce for the first time an accurate analytical approximation of the solution.
Source: Mathematics
DOI: 10.3390/math14122185
Authors: Olivia Bundău, Bogdan Căruntu
Institution: Politehnica University of Timisoara
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W7165019229
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