Table 1 From New Three Point Secant Type Methods For Solving Nonlinear Conclusions. a new secant type method for solving nonlinear equations with simple root has been presented. the effectiveness of the new method is examined by showing the accuracy of the simple root of several nonlinear equations. we have shown numerically and verified that the new iterative method has convergence of order 2.414. 1 excerpt. a new secant type method for finding zeros of nonlinear equations is presented. in terms of computational cost the new iterative method requires two evaluations of functions per iteration. it is shown and proved that the new method has a convergence of order . we examine the effectiveness of the new method by approximating the simple.
Pdf A New Secant Type Method For Solving One Variable Functions Secant method, newton method, simple root, nonlinear equations, root finding, order of convergence. 1. introduction. finding the root of nonlinear equations is one of important problem in science and engineering [5]. in this paper, we present a new iterative method to find a simple root α of the nonlinear equation f ( x ) = 0, where f : d ⊂. This paper presents new three point secant type methods for finding simple root of nonlinear equations. it is proved that the new methods have the convergence order of 1.84 or 1.80 requiring only one function evaluations per full iteration. Abstract. in this paper we propose two four point secant type methods for finding simple root of nonlinear equations. the new iterative methods do not require any derivatives and has a convergence order of 1.92. also, we have proved the convergence order of the new methods which require only one function evaluations per full iteration. Now, we employ the new method given by (23) with β 1 = β 2 = 0 and ν − 1 = 1 to solve some nonlinear equations. the performance of the present method with the secant method given by (2) and the method given by (5), (6)[22] (zllm) is compared. for the zllm, we take y 0 = x 0 − f ( x 0). for the secant method, we take x − 1 = x 0 − f.
Pdf Ls Solving Of Nonlinear Equations By The T Secant Method With Abstract. in this paper we propose two four point secant type methods for finding simple root of nonlinear equations. the new iterative methods do not require any derivatives and has a convergence order of 1.92. also, we have proved the convergence order of the new methods which require only one function evaluations per full iteration. Now, we employ the new method given by (23) with β 1 = β 2 = 0 and ν − 1 = 1 to solve some nonlinear equations. the performance of the present method with the secant method given by (2) and the method given by (5), (6)[22] (zllm) is compared. for the zllm, we take y 0 = x 0 − f ( x 0). for the secant method, we take x − 1 = x 0 − f. Examples demonstrate exceptional convergence speed of the proposed methods. it is observed that the new four point secant type iterative methods are very effective and robust. keywords secant type methods, simple root, nonlinear equations, root finding, order of convergence 1. introduction the root finding problem arises in a wide variety of. A new family of three point derivative free methods for solving nonlinear equations is presented. it is proved that the order of convergence of the basic family without memory is eight requiring four function evaluations, which means that this family is optimal in the sense of the kung–traub conjecture. further accelerations of convergence.
Pdf A New Class Of Secant Like Methods For Solving Nonlinear Systems Examples demonstrate exceptional convergence speed of the proposed methods. it is observed that the new four point secant type iterative methods are very effective and robust. keywords secant type methods, simple root, nonlinear equations, root finding, order of convergence 1. introduction the root finding problem arises in a wide variety of. A new family of three point derivative free methods for solving nonlinear equations is presented. it is proved that the order of convergence of the basic family without memory is eight requiring four function evaluations, which means that this family is optimal in the sense of the kung–traub conjecture. further accelerations of convergence.
A New Secant Type Method For Solving Nonlinear Equations
Comments are closed.