[PDF] Top 20 A New Formulae Method For Solving The Simultaneous Equations

... a method for solving the simultaneous equations in a different ...for solving the simultaneous equations but in this paper the method is related to directly the ... See full document

... 11 times function evaluation is needed. At the moment, taking current X’s values as initial value and using New- ton method merely 4 times iteration the almost same re- sult was obtained. This fact shows ... See full document

... integral equations appear in a wide variety of physical ...integral equations is one of the oldest problems in the applied mathematics liter- ature and many computational methods are introduced in this ... See full document

... To verify the performance of SLC algorithm, PSO and DE algorithms are applied to solve this system of nonlinear equations. As shown in Table 13, SLC has better convergence accuracy in comparison with PSO ... See full document

... a new stochastic operational matrix for the Legendre wavelets is presented and a general procedure for forming this matrix is ...computational method based on this stochastic operational matrix is proposed ... See full document

... In section 2, we consider the Second derivative free Eighteenth Order Extrapolated Newton’s method and discuss the convergence criteria of this method in section 3. Few numerical examples are considered to ... See full document

... iterative method for effectively solving AVEs (1). Firstly, we present a new iter- ative formula, which absorbs the advantages of both the classic Newton and the two-step Traub iterative formulas, it ... See full document

... a new third-order derivative-free method and give the convergence ...a new two-step third-order iterative method for solving nonlinear ...this method we approximate the ... See full document

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

... differential equations can model many phenomena in different fields of science and engineering in order to present their behaviors and effects by mathematical ...the equations do not have analytical ... See full document

... a new numerical method for solving a class of stochastic partial differential equations (SPDEs) based on B-splines ...The method combines implicit collocation with the multi-scale ... See full document

... a new iterative method for solving nonlinear ...a new series which can be obtained by using the trapezoidal rule for approximating the integral in conjunction with the fundamen- tal ...This ... See full document

... a new numerical method based on triangular functions for solving nonlinear stochastic differential equations is ...presented method is very simple and ...the method are ... See full document

... x ∈ [0, 1], in which functions f and k and the nonlinear operator N are considered such that Eq. (1.1) has a unique solution. Furthermore, we need to assume that F is continuous. The rest of the paper is organized as ... See full document

... differentiable functions. In general, the rate of convergence is quadratic in a neighborhood of the solution b x, with local convergence property. As a second choice for solving (1), the homotopy method for ... See full document

... integral equations are ...tegral equations of the second kind based on suc- cessive approximations ...for solving fuzzy Fredholm integral equation of the second kind using the embedding ... See full document

... functional equations, such as ordinary or partial differential equations, integral and integral-differential equations ...a new Homotopy Perturbation Method (HPM) is introduced to ... See full document

... [1] K. I. Noor and M. Aslam Noor, “Predictor-Corrector Hal- ley Method for Nonlinear Equations,” Applied Mathema- tics and Computation, Vol. 188, No. 2, 2007, pp. 1587- 1591. ... See full document

... paper, New Iterative Method has been successfully used for obtaining the analytic solutions for Lax equations and Sawada-Kotera KdV equations of fifth and seventh ... 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