Padilla, J.J.; Chicharro, F.I.; Cordero, A.; Hernández-Díaz, A.M.; Torregrosa, J.R. Parametric Iterative Method for Addressing an Embedded-Steel Constitutive Model with Multiple Roots. Mathematics2023, 11, 3275.
Padilla, J.J.; Chicharro, F.I.; Cordero, A.; Hernández-Díaz, A.M.; Torregrosa, J.R. Parametric Iterative Method for Addressing an Embedded-Steel Constitutive Model with Multiple Roots. Mathematics 2023, 11, 3275.
Padilla, J.J.; Chicharro, F.I.; Cordero, A.; Hernández-Díaz, A.M.; Torregrosa, J.R. Parametric Iterative Method for Addressing an Embedded-Steel Constitutive Model with Multiple Roots. Mathematics2023, 11, 3275.
Padilla, J.J.; Chicharro, F.I.; Cordero, A.; Hernández-Díaz, A.M.; Torregrosa, J.R. Parametric Iterative Method for Addressing an Embedded-Steel Constitutive Model with Multiple Roots. Mathematics 2023, 11, 3275.
Abstract
In this paper, an iterative procedure to find the solution of a nonlinear structural model is introduced. The model presents different multiplicities where parameters are randomly selected within a solvability region. To achieve this aim, a class of multipoint fixed-point iterative schemes for single roots is modified to find multiple roots, reaching the fourth order of convergence. Complex discrete dynamics techniques are employed to select the members with the most stable performance. The structural problem, as well as some academic problems involving multiple roots, are solved numerically to verify the theoretical analysis, robustness and applicability of the proposed scheme.
Keywords
Nonlinear problems; Iterative methods; Stability; Order of convergence; unified parameter plane; Multiple roots
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
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