![]() The paper concludes with a discussion of the features of the solution to the ODE/PDE system. An estimate for the cornea radius of curvature is also derived. Both provide solutions very close to that obtained from the full nonlinear model. Also, two linear approximations are derived, one of which leads to a closed form solution. This is compared to a fitted exponential model. A series approximation to the solution is derived from which an estimate for the rate of convergence is obtained. This procedure is implemented in R (an open source scientific programming system) and the programming is discussed in some detail. In the 2022-2023 School Year, YCAL is offering 30+ on-site Career Exploration Programs at various host location along with 25+ previously recorded virtual career exploration sessions from the 2020-2021 school year. Our variable speed drive fans ensure class-leading efficiency, while brazed evaporators and microchannel condensers provide more efficient heat transfer, reducing lifecycle costs. The PDE solution at this point is also the solution for the BVODE. A FRIENDLIER FOOTPRINT Make the most of usable space while minimizing environmental impact with the energy-efficient YORK YLAA Air-Cooled Scroll Chiller. A numerical solution to the PDE is then computed by the method of lines (MOL) with the calculation proceeding to a sufficiently large value of t such that the derivative in t reduces to essentially zero. A numerical solution to the BVODE is computed by first converting the BVODE to a parabolic partial differential equation (PDE) by adding an initial value (t, pseudo-time) derivative to the BVODE. ![]() ![]() The starting point for this paper is a nonlinear, two-point boundary value ordinary differential equation (BVODE) that defines corneal curvature according to a static force balance.
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