[PDF] Top 20 A New Third Order Derivative Free method for Solving Nonlinear Equations

... first order derivative of the function f (x) is unavailable or is expensive to compute, the Newtons method is still restricted in practical ...In order to avoid computing the first order ... See full document

... Kudryashov method is proposed to solve fractional differential equations, and Jumarie’s modified Riemann-Liouville derivative is used to convert nonlinear partial fractional differential equation ... See full document

... of new iterative method. The root of each nonlinear test function is also listed in from of each page up to fifteen decimal places, when such roots are ... See full document

... Nonlinear third-order differential equations, known as nonlinear Jerk equa- tions, involving the third temporal displacement derivative, are of great interest in analyzing ... See full document

... efficient new procedure is proposed to modify third –order iterative method obtained by Rostom and Fuad ...F.W. New third –order iterative method for solving ... See full document

... Hafiz, New two-step predictor-corrector method with ninth order convergence for solving nonlinear equations, Journal of Advances in Mathematics ,2, 432-437, ... See full document

... this method are; rapid convergence and easy to ...Newton’s method requires the computation of the Jacobian matrix, which require the first-order derivative of the ...Newton’s method ... See full document

... a new two step iterative methods free derivative to solve a nonlinear ...The new iterative method free derivative has four order of convergence and four ... See full document

... point method for solving nonlinear ...two new algori- thems of convergence order two and ...some nonlinear equations to show the performance and efficiency of our newly ... See full document

... employ New Iterative Method (NIM), developed by DaftardarGejji and Jafari [17], to solve generalized Korteweg-de Vries equations of fifth and seventh orders [18, ...and nonlinear ... See full document

... orders method of Hu et ...higher- order multi-step iterative methods for solving nonlinear equations, as well as a system of nonlinear ... See full document

... Chebyshev method (CM) (see [21]-[22]); the Halley method (HM) (see [21]-[22]); the Newton iterative method (see [21]-[22]); RWB method proposed by Ren et ...NETA method proposed by Neta ... See full document

... two new iterative methods of order four and five for the solution of nonlinear equations based on homotopy perturbation ...of order four and order five for solving ... See full document

... collocation method is proposed for solving linear and nonlinear multi-order fractional differential equations based on the new definition of fractional derivative which is ... See full document

... one-point third order iter- ative formulas for finding simple roots of nonlinear ...ates new, simple and fast ...existing third order and higher order methods shows that ... See full document

... produced by the eighth-order methods and list the errors obtained by each of the methods. The numerical computations listed in the tables were performed on an algebraic system called Maple. In addition, we need to ... See full document

... In this section, some numerical test of some various multiple-root- finding methods as well as our new methods and Newton’s method are presented. All computations were done using the MAPLE 13 with 128 digit ... See full document

... In the section 2 of this paper, we develop an iterative method for solving (1.1) and its convergence criteria is discussed. And also, few variants are derived from this new method in the same ... See full document

... Second derivative free Eighteenth Order Extrapolated Newton’s method and discuss the convergence criteria of this method in section ...this method in the concluding ... See full document

... Steffensen-type method with super-cubic convergence for solving nonli- near equations is ...Steffensen’s method twice with memory, but without any new function ...proposed method ... See full document