Zobrazeno 1 - 10
of 1 944
pro vyhledávání: '"Root finding"'
Publikováno v:
Axioms, Vol 13, Iss 10, p 689 (2024)
Fractional calculus extends the conventional concepts of derivatives and integrals to non-integer orders, providing a robust mathematical framework for modeling complex systems characterized by memory and hereditary properties. This study enhances th
Externí odkaz:
https://doaj.org/article/c6648bc8d7c740f4bc796e885e9be98d
Autor:
Morteza Bisheh-Niasar
Publikováno v:
Mathematics Interdisciplinary Research, Vol 8, Iss 4, Pp 347-358 (2023)
This paper presents the visualization process of finding the roots of a complex polynomial - which is called polynomiography - by the Caputo fractional derivative. In this work, we substitute the variable-order Caputo fract
Externí odkaz:
https://doaj.org/article/7de9d12b835d49729b006e25a6b32e40
Publikováno v:
BMC Research Notes, Vol 16, Iss 1, Pp 1-7 (2023)
Abstract Objective In this paper, we develop a new root-finding algorithm to solve the given non-linear equations. The proposed root-finding algorithm is based on the exponential method. This algorithm is derivative-free and converges fast. Results S
Externí odkaz:
https://doaj.org/article/4a8224fceba74090b6bca7a3a7295c88
Autor:
Basto Mário, Basto Mário Alberto
Publikováno v:
Moroccan Journal of Pure and Applied Analysis, Vol 9, Iss 3, Pp 354-364 (2023)
Initial conditions can have a substantial impact on the behavior of iterative root-finding techniques for nonlinear equations. By allowing complex starting points and complex roots, it is possible to examine the basins of attraction in the complex pl
Externí odkaz:
https://doaj.org/article/0e3ac2b594c9472cbbfaf1f4607f25e3
Publikováno v:
Malaysian Journal of Computing, Vol 8, Iss 1, Pp 1349-1362 (2023)
he nonlinear transcendental or algebraic equation problem is one of the important research areas in numerical analysis, and the iterative methods are playing an important role to find approximate solutions. The Secant method is one of the best iterat
Externí odkaz:
https://doaj.org/article/35c1723f81ff45269397ff11a883aebc
Publikováno v:
IEEE Access, Vol 11, Pp 68809-68817 (2023)
An algorithm to find the roots and poles of a complex function depending on two arguments (one complex and one real) is proposed. Such problems are common in many fields of science for instance in electromagnetism, acoustics, stability analyses, spec
Externí odkaz:
https://doaj.org/article/4a09ff41bf9f418a9f7b2b304eae14ef
Publikováno v:
Ural Mathematical Journal, Vol 9, Iss 1 (2023)
The objective of this paper is to propose two new hybrid root finding algorithms for solving transcendental equations. The proposed algorithms are based on the well-known root finding methods namely the Halley's method, regula-falsi method and expone
Externí odkaz:
https://doaj.org/article/a81420aa867845098d8f6e3847e12f86
Autor:
Delaney, Fredrickson, author, Delaney, Kris T., author
Publikováno v:
Field-Theoretic Simulations in Soft Matter and Quantum Fluids, 2023, ill.
Externí odkaz:
https://doi.org/10.1093/oso/9780192847485.003.0005
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