Differential problems with the Riesz derivative in space are widely used to model anomalous diffusion. Although Riesz–Caputo is more suitable for modeling real phenomena, there few examples literature where numerical methods solve such differential problems. In this paper, we propose approximate of a given function cubic spline. As far as aware, first time that splines have been context derivat...

In this paper, the authors describe fractional polynomials and cubic splines with which to represent smooth dose-response relations in summarizing meta-analytical aggregate data. Use of these two curve-fitting families can help prevent the problems arising from inappropriate linearity assumptions. These methods are illustrated in the problem of estimating the shape of the dose-response curve be...

Uwe Keller, Donald Reay, Roy Leitch Intelligent Systems Laboratory Dept. of Computing & Electrical Engineering Heriot-Watt University, Edinburgh EH14 4AS, Scotland, UK [email protected] Abstract In this paper Fuzzy Region Simulation (FRenSi), which provides solutions for fuzzy dynamical models, is applied to qualitative adaptive control. FRenSi, combines fuzzy model parameters and fuzzy initial...

by using the trigonometric uniform splines of order 3 with a real tension factor, a numericalmethod is developed for solving a linear second order boundary value problems (2vbp) withdirichlet, neumann and cauchy types boundary conditions. the moment at the knots isapproximated by central finite-difference method. the order of convergence of the methodand the theory is illustrated by solving tes...

Thin plate splines provide smooth interpolation of the given data in two or more dimensions. These are analogous to cubic splines in one dimension. The main objectives of this report is to provide an implementation of the thin plate spine interpolation of data using various efficient methods and to investigate the possibility of using thin plate splines in adaptive optics. In this report, we co...