In order to investigate the effects of non-linear springs in vibrating behavior of vehicles, the independent suspension of conventional vehicles could be modeled as a non-linear single degree of freedom system. The equation of motion for the system would be a non-linear third order ordinary differential equation, when considering the elasticity of rubber bushings in joints of shock absorber. It...

The estimation of parametric global motion using non-linear optimization is a fundamental technique in computer vision. Such schemes are able to recover various motion models (translation, rotation, affine, projective) with subpixel accuracy. The parametric motion is computed using a first order Taylor expansions of the registered images. But, it is limited to the estimation of small motions, a...

The aim of this paper is to construct an e¢ cient iterative method to solve nonlinear equations. This method is obtained from M. Javidi’s method (Appl. Math. Comput. 193 (2007) 360-365), which is third-order. The convergence order of new method is established to six and the e¢ ciency index is 1.5651. The Proposed method is compared with the second, third and sixth order methods. Some numerical ...

A new frequency-domain electromagnetic algorithm is developed for simulating curved interfaces between anisotropic dielectrics embedded in a Yee mesh with second-order error in resonant frequencies. The algorithm is systematically derived using the finite integration formulation of Maxwell’s equations on the Yee mesh. Second-order convergence of the error in resonant frequencies is achieved by ...

In this article, we suggest the local analysis of a uni-parametric third and fourth order class iterative algorithms for addressing nonlinear equations in Banach spaces. The proposed convergence is established using an ω-continuity condition on first Fréchet derivative. way, utility discussed schemes extended application Taylor expansion removed. Furthermore, study provides radii balls uniquene...

Abstract: In this study, the non-polynomial spline function is used to find the numerical solution of the third order singularly perturbed boundary value problems. The convergence analysis is discussed and the method is shown to have second order convergence. The order of convergence is improved up to fourth order using the improved end conditions. Numerical results are given to describe the ef...

The interval version of the complex third-order method of Maehly, Borsch-Supan, Ehrlich, and Aberth is the most efficient method for simultaneous inclusion of simple polynomial roots [14]. In this note, Gargantini’s generalization of this third-order interval method for multiple roots is accelerated using Schroder’s modification of Newton’s corrections and modifying the required interval invers...