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In Section 3, we propose a new three-level implicit method based on spline in compression approximation.
In Section 3, we propose a new three-level Numerov-type finite difference method based on spline in tension approximation.
In Section 3, we discuss a detailed derivation of a new half-step three-level implicit method based on spline in compression approximations.
Available numerical methods based on spline in compression approximations for the numerical solution of second order quasilinear hyperbolic equations on a variable mesh are of (O k^{2} + h_{l})) accuracy only.
For the derivation of a Numorov-type method (3.8) based on spline in tension approximations for the numerical solution of differential equation (3.1), we follow the ideas of Jain et al. [5, 28].
In this section, we solve some benchmark problems using the method described by equation (3.8) and compare our results with those obtained by the numerical method of O ( k 2 + h 2 ) accuracy based on spline in tension approximations.
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Jain et al. [9] discussed difference schemes based on splines in compression for the solution of conservation laws.
The production of the climate surfaces is based on spline interpolation where the spatial variation in average air temperature and precipitation sums were modelled as a function of latitude, longitude, and elevation.
In this paper, two parameter estimation methods based on spline theory are proposed.
Two further non-parametric approaches based on spline smoothing were applied, B-splines and P-splines.
As in Cao and Zhao (2008), we estimated the time evolution of m1 with a smoothing method based on spline.
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