This paper presents an iterative scheme for solving nonline ar equations. We establish a new rational approximation model with linear numerator and denominator which has generalizes the local linear model. We then employ the new approximation for nonlinear equations and propose an improved Newton's method to solve it. The new method revises the Jacobian matrix by a rank one matrix each iteratio...

using the lennard-jones (12-6) potential, a new equation of state is obtained that can predict properties of both gases and liquids relatively well. this equation of state is given as (z-a)v2=(a/v2)-b, where z is the compressibility factor, a and b are constants, and a is an adjustable parameter that depends on the temperature, volume and the nature of the fluid, and its expressions depends upo...

Modification of Newtons method with higher-order convergence is presented. The modification of Newtons method is based on Frontinis three-order method. The new method requires two-step per iteration. Analysis of convergence demonstrates that the order of convergence is 6. Some numerical examples illustrate that the algorithm is more efficient and performs better than classical Newtons method and ...

using the gaussian 2003 software and mp2/ 6–311 ++ g** method for he: he, ne:ne andmp2/6-31g method for ar: ar, kr: kr and hf/sto-3g method for xe: xe, the optimizedinteraction energies between two like atoms of rare gases (he, ne, ar, kr and xe) as a functionof the distances between the centers of two considered atoms were evaluated and the resultswere interpreted according to the lennard – jo...

Grover’s equation [L.K. Grover, Local search and the local structure of some NP-complete problems, Operations Research Letters 12 (1992)] and, equivalently, the Laplacian equation [J.W. Barnes, S. Dokov, B. Dimova, A. Solomon, A theory of elementary landscapes, Applied Mathematics Letters 16 (2003)] define an elementary landscape which has favorable properties for direct search methods. Dimova ...

An effective location algorithm, which considers nonline-of-sight (NLOS) propagation, is presented. By using a new variable to replace the square term, the problem becomes a mathematical programming problem, and then the NLOS propagation’s effect can be evaluated. Compared with other methods, the proposed algorithm has high accuracy.

Using the Gaussian 2003 software and MP2/ 6–311 ++ G** method for He: He, Ne:Ne andMP2/6-31G method for Ar: Ar, Kr: Kr and HF/STO-3G method for Xe: Xe, the optimizedinteraction energies between two like atoms of rare gases (He, Ne, Ar, Kr and Xe) as a functionof the distances between the centers of two considered atoms were evaluated and the resultswere interpreted according to the Lennard – Jo...