Тип публикации: статья из журнала
Год издания: 2021
Идентификатор DOI: 10.1016/j.amc.2021.125995
Ключевые слова: bisection method, brent method, improved parabolic method, müller method, nonlinear equation, parabolic method, ridders method, speed method
Аннотация: An analysis of numerical methods for solving algebraic and transcendental equations in terms of speed is performed. In contrast to the reliable bisection method, the well-known parabolic methods by Müller, Brent, and Ridders have been determined to have higher speed, but do not always ensure the specified accuracy of the solution. Показать полностьюBased on the data obtained, an improved parabolic method that guarantees accuracy confirmed by computational experiment is developed. This proposed method combines the quadratic speed of parabolic approaches and the ability to provide stable convergence to the solution for slowly varying functions inherent to the bisection method. © 2021
Журнал: Applied Mathematics and Computation
Выпуск журнала: Vol. 400
Номера страниц: 125995
ISSN журнала: 00963003
Издатель: Elsevier Inc.