|
|
|
|
a high-order algorithm for solving nonlinear algebraic equations
|
|
|
|
|
|
|
|
نویسنده
|
ghorbani a. ,gachpazan m.
|
|
منبع
|
iranian journal of numerical analysis and optimization - 2021 - دوره : 11 - شماره : 1 - صفحه:107 -115
|
|
چکیده
|
A fourthorder and rapid numerical algorithm, utilizing a procedure as runge–kutta methods, is derived for solving nonlinear equations. the method proposed in this article has the advantage that it, requiring no calculation of higher derivatives, is faster than the other methods with the same order of convergence. the numerical results obtained using the developed approach are compared to those obtained using some existing iterative methods, and they demonstrate the efficiency of the present approach.
|
|
کلیدواژه
|
order of convergence ,newton–raphson method ,householder iteration method ,nonlinear equations
|
|
آدرس
|
ferdowsi university of mashhad, faculty of mathematical sciences, department of applied mathematics, iran, ferdowsi university of mashhad, faculty of mathematical sciences, department of applied mathematics, iran
|
|
پست الکترونیکی
|
gachpazan@um.ac.ir
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|