Overcoming the convergence difficulty of cohesive zone models through a Newton-Raphson modification technique
نویسندگان
چکیده
منابع مشابه
Historical Development of the Newton-Raphson Method
This expository paper traces the development of the Newton-Raphson method for solving nonlinear algebraic equations through the extant notes, letters, and publications of Isaac Newton, Joseph Raphson, and Thomas Simpson. It is shown how Newton's formulation differed from the iterative process of Raphson, and that Simpson was the first o give a general formulation, interms of fluxional calculus,...
متن کاملNumerical Solution of Fuzzy Polynomials by Newton-Raphson Method
The main purpose of this paper is to find fuzzy root of fuzzy polynomials (if exists) by using Newton-Raphson method. The proposed numerical method has capability to solve fuzzy polynomials as well as algebric ones. For this purpose, by using parametric form of fuzzy coefficients of fuzzy polynomial and Newton-Rphson method we can find its fuzzy roots. Finally, we illustrate our approach by nu...
متن کاملNewton raphson method matlab pdf
We will present the Newton-Raphson algorithm, and the secant method. A MATLAB function for the Newton-Raphson method. The function.MATLAB has many tools that make this package well suited for numerical computations. The Newton-Raphson method for systems of nonlinear equations.The Newton-Raphson method, or Newton Method, is a powerful technique. Interesting is Section 3, where the birth of the N...
متن کاملProperties of nonlinear systems and convergence of the Newton-Raphson method in geometric constraint solving
The paper describes an application of a variant of the Newton-Raphson method to solution of geometric constraint problems. Sparsity and rank deficiency of the corresponding nonlinear systems are emphasized and statistical data are presented. Several ways of handling underdeterminancy and overdeterminancy in solving the Newton linear systems are considered. The behavior of Newton’s method is sho...
متن کاملA modification of Newton method with third-order convergence
In this paper, we present a new modification of Newton method for solving non-linear equations. Analysis of convergence shows that the new method is cubically convergent. Per iteration the new method requires two evaluations of the function and one evaluation of its first derivative. Thus, the new method is preferable if the computational costs of the first derivative are equal or more than tho...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Engineering Fracture Mechanics
سال: 2020
ISSN: 0013-7944
DOI: 10.1016/j.engfracmech.2020.107046