in this paper, we present a new iterative method with order of convergence eighth for solving nonlinear equations. periteration this method requires three evaluations of the function and one evaluation of its first derivative. a general error analysis providing the eighth order of convergence is given. several numerical examples are given to illustrate the efficiency and performance of the new ...

geothermobarometry equations are based on thermodynamic principles and appear in single or multi-variant functions. the number of variants for a specific composition or reaction usually is reduced into 2 involving temperature (t) and pressure (p). since most of planned equations have two passive or variant p and t, using these equations should be with special care. it is very effective to use g...

in this article the nonlinear mixed volterra-fredholm integral equations are investigated by means of the modied three-dimensional block-pulse functions (m3d-bfs). this method converts the nonlinear mixed volterra-fredholm integral equations into a nonlinear system of algebraic equations. the illustrative   examples are provided to demonstrate the applicability and simplicity of our   scheme.

recently a method has been developed to decouple the equations of motion for multi-rigid body systems. in this paper, the method is first studied, then the equations of motion for a planar two degree-of-freedom robot with flexible joints are carried out using lagaranges equations and kanes equation with congruency transformations. finally, the results obtained from both methods are throroughly ...

in this research, the total torque input and output shafts were subjected to are used to formulate twodifferential equations using applied dynamics and fluid mechanics. the equations show that the input andoutput torques are a function of the constant geometrical parameters of a torque converter, includinginternal and external diameters of vanes, angle and length of vanes, cross section area be...

in this paper, lagrangian and equations describing one-dimensional anisotropic non-heisenberg model are studied. in this study we used the generalized coherent states in real parametrizations and the feynman path integral for these states in su(3) group. these equations describe nonlinear dynamics of non-heisenberg ferromagnetic chain completely. solutions of these equations are magnetic solito...

in this paper, non-polynomial spline method for solving coupled burgers’ equations are presented. we take a new spline function. the stability analysis using von-neumann technique shows the scheme is unconditionally stable. to test accuracy the error norms2l, ∞l are computed and give two examples to illustrate the sufficiency of the method for solving such nonlinear partial differential equatio...

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suppose $f$ is a map from a non-empty finite set $x$ to a finite group $g$. define the map $zeta^f_g: glongrightarrow mathbb{n}cup {0}$ by $gmapsto |f^{-1}(g)|$. in this article, we show that for a suitable choice of $f$, the map $zeta^f_g$ is a character. we use our results to show that the solution function for the word equation $w(t_1,t_2,dots,t_n)=g$ ($gin g$) is a character, where $w(t_1,t...

in this paper, the stability and boundedness of solutions of a second order nonlinear vectordifferential equation are investigated. our results include and improve some well-known results in therelevant literature.