This article provides information about the stages of development of mathematical science ancient times and the work being
done today to develop the field of mathematics
Solving nonlinear equations is more complicated and is a perfectly unresolved problem in computational mathematics. This iterative
algorithm is called the Steffensen method in numerical methods. The Steffensen method has a quadratic approximation. This method requires calculating the value of the function twice in each iteration, in which case the Steffensen method is less efficient than the cutters method
This article deals with the solution of simple differential equations using the Maple mathematical package using analytical methods,
demonstration of this process in specific practical problems, the creation of algorithms and programs for solving the problem
The concept of a system of nonlinear equations, the stages of solving the problem, the geometric interpretation of the solution of the
equation and the concept of iterative processes are given and their application is shown in the examples. The problem of numerical solution of a number of practical problems consisting of a system of nonlinear equations is considered. There are a number of approximate computational methods for solving systems of nonlinear equations, including Newton's method. Using these methods, a number of specific practical problems were solved, a computational algorithm and a block diagram were developed. An approximate method of finding the true roots of a system of nonlinear equations is given, based on examples, graphs are used in the form of results,
and appropriate conclusions are drawn
This article explains how to reduce the order of the main integration method for all types of high-order equations or to bring this
equation into a low-order equation by substituting variables into it
This article provides information about the stages of development of mathematical science ancient times and the work being
done today to develop the field of mathematics
Исследуется регулярная разрешимость задачи для уравнения третьего порядка с множественными характеристиками. Теоремы существования и единственности для регулярных решений
доказываются методом регуляризации и интегралов по энергии
В данной статье автор описывает обычную дифференцированную нелинейную суперсингулярную точку, в которой представлены интегралы через две произвольные константы, и исследует проблему типов Коши