In this paper, a finite element method involving Petrov-Galerkin method with quartic B-splines as basic functions and quintic B-splines as weight functions has been developed to solve a general sixth order boundary value problem with a particular case of boundary conditions. The basic functions are redefined into a new set of basic functions which vanish on the boundary where the Dirichlet and ...

A Biomechanical analysis of Javelin Throw in the Sevilla’99 World Athletics Championships , was carried out by the University of Valencia (Department of Physical Education and Sports). This paper presents the results of a study of the male finalists. The methodology used is based on 3D Video Photogrammetry at 50 Hz. The results show the characteristics of the throwers’ individual model at the e...

In this paper, quadratic and sextic B-splines are used to construct an approximating function based on the integral values instead of the function values at the knots. This process due to the type of used B-splines (fourth order or sixth order), called integro quadratic or sextic spline interpolation. After introducing the integro quartic and sextic B-spline interpolation, their convergence is ...

In this paper, numerical solutions of the nonlinear Burgers_ equation are obtained by a method based on collocation of quintic B-splines over finite elements. Applying the Von-Neumann stability analysis, the proposed method is shown to be unconditionally stable. The accuracy of the presented method is demonstrated by one test problem. The numerical results are found to be in good agreement with...

This paper deals with a finite element method involving Petrov-Galerkin method with cubic B-splines as basis functions and quintic B-splines as weight functions to solve a general fourth order boundary value problem with a particular case of boundary conditions. The basis functions are redefined into a new set of basis functions which vanish on the boundary where the Dirichlet type of boundary ...

Given a triangulation 4 of a polygonal domain, we nd a reenement of 4 by choosing u t in a neighborhood of the center of the inscribed circle of each triangle t 2 4, connecting u t to the vertices of the triangle t, and connecting u t to u t 0 if t 0 2 4 shares an interior edge with t or to the midpoint v e of any boundary edge e of t. The resulting triangulation is a triangulation of Powell-Sa...

The development of autonomous robots for agricultural applications includes motion planning, fruit picking, and collision avoidance with surrounding environments, these become challenging tasks. For harvesting applications, robust control the manipulator is needed effective robot. Several combinations Proportional(P)- Integrative(I)- Derivative(D) controllers are modelled a simulation study was...

‎in this paper we introduce a numerical approach that solves optimal control problems (ocps)‎‎using collocation methods‎. ‎this approach is based upon b-spline functions‎.‎the derivative matrices between any two families of b-spline functions are utilized to‎‎reduce the solution of ocps to the solution of nonlinear optimization problems‎.‎numerical experiments confirm our theoretical findings‎.