In the present manuscript, Benjamin-Bona-Mahony-Burgers (BBMB) equation will be handled numerically by Strang time-splitting technique. While applying this technique, collocation method based on quintic B-spline basis functions is applied. line with our purpose, after splitting BBM-Burgers given appropriate initial boundary conditions into two subequations containing derivative in terms of time...

Abstract Rehabilitation robots can help physiatrists to assist patients in improving their movement ability. Due the interaction between rehabilitation and patients, need complete training on a safe basis. This paper presents an approach for smooth trajectory planning cable-driven parallel waist robot (CDPWRR) based evaluation factors. First, motion capture technology is used collect data of se...

Given an m-dimensional surface Φ in R, we characterize parametric curves in Φ, which interpolate or approximate a sequence of given points p i ∈ Φ and minimize a given energy functional. As energy functionals we study familiar functionals from spline theory, which are linear combinations of L norms of certain derivatives. The characterization of the solution curves is similar to the well-known ...

In this paper, a new difference scheme based on C1-quintic splines is derived for the numerical solution of the stiff delay differential equations. Convergence results shows that the methods have a convergence of order five. Moreover, the stability analysis properties of these methods have been studied. Finally, numerical results illustrating the behavior of the methods when faced with some dif...

Nonlinear evolution equations are crucial for understanding the phenomena in science and technology. One such equation with periodic solutions that has applications various fields of physics is Korteweg-de Vries (KdV) equation. In present work, we concerned implementation a newly defined quintic B-spline basis function differential quadrature method solving The results presented using four expe...

Abstract The space inside the capsule such as station sky and core module is narrow, size of depth large, bearing points are scattered weak, there some difficulties in loading, large size, different shape, complicated interface, position, difficult position pose adjustment, high assembly risk, etc.. To solve these problems, a six-DOF heavy-duty robot proposed this paper. adopts combination line...

The behavior of the non-linear-coupled systems arising in axially symmetric hydromagnetics flow between two horizontal plates in a rotating system is analyzed, where the lower is a stretching sheet and upper is a porous solid plate. The equations of conservation of mass and momentum are transformed to a system of coupled nonlinear ordinary differential equations. These equations for the velocit...