A Class of Efficient Sixth-Order Iterative Methods for Solving the Nonlinear Shear Model of a Reinforced Concrete Beam

José Javier Padilla; Francisco I. Chicharro; Alicia Cordero; Alejandro M. Hernández-Díaz; Juan R. Torregrosa

doi:10.20944/preprints202401.0149.v1

A peer-reviewed article of this Preprint also exists.

Padilla, J.J.; Chicharro, F.I.; Cordero, A.; Hernández-Díaz, A.M.; Torregrosa, J.R. A Class of Efficient Sixth-Order Iterative Methods for Solving the Nonlinear Shear Model of a Reinforced Concrete Beam. Mathematics 2024, 12, 499. Padilla, J.J.; Chicharro, F.I.; Cordero, A.; Hernández-Díaz, A.M.; Torregrosa, J.R. A Class of Efficient Sixth-Order Iterative Methods for Solving the Nonlinear Shear Model of a Reinforced Concrete Beam. Mathematics 2024, 12, 499.

Abstract

In this paper, we present a three-step sixth-order iterative schemes to estimate the solutions of a nonlinear systems of equations, for predicting the shear strength of a reinforced concrete beam. This procedure is designed by means of a weight function technique. The values for the parameters of this system were randomly selected inside the prescribed ranges by technical standards for structural concrete; moreover, some of this parameters were fixed taking into consideration the solvability region of the adopted steel constitutive model. The efficiency of the new class is compared with other current schemes, with very good results.

Keywords

Subject

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

A Class of Efficient Sixth-Order Iterative Methods for Solving the Nonlinear Shear Model of a Reinforced Concrete Beam

Abstract

Keywords

Subject

Comments (0)