TY - JOUR
T1 - Numerical Analysis of New Hybrid Algorithms for Solving Nonlinear Equations
AU - Vivas-Cortez, Miguel
AU - Ali, Naseem Zulfiqar
AU - Khan, Awais Gul
AU - Awan, Muhammad Uzair
N1 - Publisher Copyright:
© 2023 by the authors.
PY - 2023/7/12
Y1 - 2023/7/12
N2 - In this paper, we propose two new hybrid methods for solving nonlinear equations, utilizing the advantages of classical methods (bisection, trisection, and modified false position), i.e., bisection-modified false position (Bi-MFP) and trisection-modified false position (Tri-MFP). We implemented the proposed algorithms for several benchmark problems. We discuss the graphical analysis of these problems with respect to the number of iterations and the average CPU time.
AB - In this paper, we propose two new hybrid methods for solving nonlinear equations, utilizing the advantages of classical methods (bisection, trisection, and modified false position), i.e., bisection-modified false position (Bi-MFP) and trisection-modified false position (Tri-MFP). We implemented the proposed algorithms for several benchmark problems. We discuss the graphical analysis of these problems with respect to the number of iterations and the average CPU time.
KW - classical methods
KW - hybrid algorithms
KW - modified false position method
KW - numerical calculations
UR - http://www.scopus.com/inward/record.url?scp=85171817030&partnerID=8YFLogxK
U2 - 10.3390/axioms12070684
DO - 10.3390/axioms12070684
M3 - Article
AN - SCOPUS:85171817030
SN - 2075-1680
VL - 12
JO - Axioms
JF - Axioms
IS - 7
M1 - 684
ER -