Research of an Algorithm for Solving Nonlinear Functional Equations

Authors

  • Yurii Bilushchak Department of numerical methods of mathematical physics, Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine; Department of Computational Mathematics and Programming, Lviv Polytechnic National University
  • Anastasiia Chuchvara Department of numerical methods of mathematical physics, Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine
  • Olha Chernukha Department of numerical methods of mathematical physics, Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine; Department of Computational Mathematics and Programming, Lviv Polytechnic National University

Keywords:

algorithm, nonlinear functional equation, simple iteration method, dichotomy method

Abstract

In the paper the algorithm for solving nonlinear functional equations based on the composition of the simple iteration method and the modification of the dichotomy method is considered. The use of the algorithm is demonstrated through examples of finding solutions for both linear and nonlinear functions.

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Published

2024-05-24

Issue

2024: INFORMATION TECHNOLOGIES AND COMPUTER MODELLING proceedings of the International Scientific Conference

Section

Section 7 Mathematical and computer modelling of complex systems