Parametric Interpolation To Scattered Data [QA281. A995 2008 f rb].

Dua skema interpolasi berparameter yang mengandungi interpolasi global untuk data tersebar am dan interpolasi pengekalan-kepositifan setempat data tersebar positif dibincangkan. Two schemes of parametric interpolation consisting of a global scheme to interpolate general scattered data and a local positivity-preserving scheme to interpolate positive scattered data are described

An improved positivity preserving odd degree-n Said-Ball boundary curves on rectangular grid using partial differential equation

This paper discusses the sufficient conditions for positivity preserving odd degree-n Said-Ball boundary curves defined on a rectangular grid.We derive a sufficient condition on boundary curves of rectangular Said-Ball patches where the lower bound ordinates are adjusted independently.To construct the boundary curves for each rectangular patch, the Said-Ball polynomial solution of fourth order PDE will be considered where its coefficients can be calculated using edge Said-Ball ordinates which fulfill the positivity preserving conditions.Graphical examples are presented using well-known test functions

A research on the synchronization of two novel chaotic systems based on a nonlinear active control algorithm

The problem of chaos synchronization is to design a coupling between two chaotic systems (master-slave/drive-response systems configuration) such that the chaotic time evaluation becomes ideal and the output of the slave (response) system asymptotically follows the output of the master (drive) system.This paper has addressed the chaos synchronization problem of two chaotic systems using the Nonlinear Control Techniques, based on Lyapunov stability theory.It has been shown that the proposed schemes have outstanding transient performances and that analytically as well as graphically, synchronization is asymptotically globally stable.Suitable feedback controllers are designed to stabilize the closed-loop system at the origin. All simulation results are carried out to corroborate the effectiveness of the proposed methodologies by using Mathematica 9

Range restricted C2 interpolant to scattered data

The construction of a range restricted bivariate C2 interpolant to scattered data is considered in which the interpolant is positive everywhere if the original data are positive. Sufficient conditions are derived on Bezier points in order to ensure that surfaces comprising quintic Bezier triangular patches are always positive and satisfy C2 continuity conditions. The first and second derivatives at the data sites are then calculated (and modified if necessary) to ensure that these conditions are satisfied. Its construction is local and easily extended to include as upper and lower constraints to the interpolating surfaces of the form z = C(x,y) where C is a polynomial of degree less or equal to 5. A number of examples are presented

Notes on zygmund functions

In this paper we study a class of continuous functions satisfying a certain Zyg-mund condition dependent on a parameter γ > 0. It shown that the modulus of continuity of such functions is O(δ(log 1/δ)1-γ) if ∈ (0, 1) and O(δ(log log 1/δ )) if γ = 1. Moreover, these functions are differentiable if γ > 1. These results extend the results in literatures [4], [5]

Construction of cubic Ball surface based on biharmonic partial differentiation equation

This paper will discuss a new method of Ball surface generation from prescribed boundaries based on the partial differential operator. In particular, we focus on the construction of a bicubic Said-Ball surface using biharmonic partial differentiation equation. The main result is that the use of biharmonic Said-Ball surface would enable the overall surface to be generated and controlled based on the boundary curves rather than a set of control points. We illustrate the new method by using several graphical examples

The existence of ϒ-fixed point for the multidimensional nonlinear mappings satisfying (ψ, θ, ϕ)-weak contractive conditions

In this paper we prove the existence of ϒ-fixed point for a multidimensional nonlinear mappings F : Xk → X defined on the partially ordered metric spaces and satisfying (ψ, θ, ϕ)-weak contractive conditions. Moreover, we prove the uniqueness of that fixed point under extra conditions to (ψ, θ, ϕ)-weak contractive conditions

On solving fuzzy delay differential equation using bezier curves

In this article, we plan to use Bezier curves method to solve linear fuzzy delay differential equations. A Bezier curves method is presented and modified to solve fuzzy delay problems taking the advantages of the fuzzy set theory properties. The approximate solution with different degrees is compared to the exact solution to confirm that the linear fuzzy delay differential equations process is accurate and efficient. Numerical example is explained and analyzed involved first order linear fuzzy delay differential equations to demonstrate these proper features of this proposed problem

MHD micropolar nanofluid flow over an exponentially stretching/shrinking surface: triple solutions

In this study, the problem of MHD micropolar nanofluid boundary layer flows over an exponentially stretching/shrinking sheet with radiation and suction effect is considered. The Buongiorno’s nanofluid model is applied to the problem. The governing equations are first transformed to the coupled nonlinear similarity equations by using similarity transformations. The resulting equations which is in ordinary differential equations form are then solved numerically by using shooting method.Triple solutions are observed to exist for the flows. A comparison with existing solutions in literature for specific case are made to assess the accuracy of the present results. Further, the flows profiles are examined, and it is found that the presence of suction parameter will contribute the occurrences of triple solutions

Linear active control algorithm to synchronize a nonlinear HIV/AIDS dynamical system

Chaos synchronization between two chaotic systems happens when the trajectory of one of the system asymptotically follows the trajectory of another system due to forcing or due to coupling.This research paper addresses the synchronization problem of an In-host Model for HIV/AIDS dynamics using the Linear Active Control Technique.In this study, using the Linear Active Control Algorithm based on the Lyapunov stability theory, the synchronization between two identical HIV/AIDS chaotic systems and the switching synchronization between two different HIV/AIDS and Qi 4-D chaotic systems has been observed. Further, it has been shown that the proposed schemes have excellent transient performance and analytically as well as graphically found that the synchronization is globally exponential stable.Numerical simulations are carried out to demonstrate the efficiency of the proposed approach that support the analytical results and illustrated the possible scenarios for synchronization. All simulations have been done using Mathematica 9