[PDF] Top 20 ON THE EFFICIENCY OF A FAMILY OF QUADRATURE-BASED METHODS FOR SOLVING NONLINEAR EQUATIONS

... iterative methods (Method 1 ( ), Method 2 ( ) and Method 3 ( )), are implemented on two problems (Problem 1-2) in literature in other to illustrate their ...proposed methods with the methods ... See full document

... Abstract Solving nonlinear equations is one of the most important problems in numerical analysis, and has a wide range of application in various aspects, as well as many branches of science, ... See full document

... its efficiency index is lower because of the involvement of six function evaluation per ...the efficiency index of the iterative method in equation (3), a slight modification to its first, second and third ... See full document

... A Family of Predictor-Corrector Methods Based on Weight Combination of Quadrature’s for solving Nonlinear Equations, International Journal of Nonlinear Science, ... See full document

... iterative methods with the improved convergence order, see [12], ...iterative methods [29], [30]. Chun and Ham have sug- gested a family of sixth-order methods by weight func- tion ... See full document

... iterative methods of order four and five for the solution of nonlinear equations based on homotopy perturbation ...iterative methods to solve some nonlinear ...and ... See full document

... new family of eighth-order derivative-free methods for solving nonlinear equations is ...these methods have the convergence order of eight. These new methods are ... See full document

... fuzzy quadrature formula and the error bound of this quadrature rule, then our numer- ical iterative method for approximating the so- lution of fuzzy integral equations based on opti- mal ... See full document

... We observe that the 16th FGK1 and 16th FGK2 family of IFs require two parameters and an analytic function. Therefore, we develop a simplified one-parameter optimal 4-point sixteenth-order King-type family ... See full document

... iterative methods for nonlinear systems of equations, spe- cially for large systems arising from IE, ODE and ...space methods, soft computing based on wavelets and fuzzy concepts, ... See full document

... study, based on the optimal free derivative without memory methods proposed by Cordero et ...iterative methods for nonlinear equations by using polynomial interpolation, Mathematical ... See full document

... iterative methods for solving nonlinear equations are presented using a new quadrature rule based on spline ...these methods have third-order ...these methods are ... See full document

... Physics solving (1) with the help of same perturbation term introduced to the target Ja- cobian of ...to quadrature based iterative methods in ...multi-step quadrature based ... See full document

... for solving nonlinear equations by using Steffensen’s ...new methods can be viewed as significant modification and improvement of the Steffensen’s ...exiting methods to show the ... See full document

... iterative methods for the solution of nonlinear equations are ...iterative methods are developed by using weight function method and using an approx- imation for the last derivative, which ... See full document

... a family of conjugate gradient projection methods for solving large-scale nonlinear ...solution methods for solving the problem, its global convergence is established without the ... See full document

... of nonlinear equations is small. But for a large system of nonlinear equations, it is not recommendable to use full matrices as a preconditioners and reason is clear, since we get a penalty in ... See full document

... dimensional nonlinear system. We rst discuss two reduced-order methods, the Approximate Inertial Manifold and the Proper Orthogonal Decomposition, and show that these methods can be used to obtain a ... See full document

... A new mathematical model was built to better describe the novel nonlinear suspension for seat system, which can capture the main dynamic properties of seat suspension system. Using the signals measured under the ... See full document

... iterative methods for simple roots for solving nonlinear ...our methods by comparing them with some well existing third and fourth-order iterative ... See full document