Inexact primal–dual active set method for solving elastodynamic frictional contact problems

Gudermannian neural networks using the optimization procedures of genetic algorithm and active set approach for the three-species food chain nonlinear model

“…Recently, GA is implemented in the brain tumor images (Simi et al 2020 ), hospitalization expenditure systems (Tao et al 2019 ), Thomas–Fermi model (Sabir et al 2018 ), feature diversity in cancer microarray (Sayed et al 2019 ), radiation protective in the bismuth-borate glasses (Wilson 2019 ), nonlinear electric circuit models (Mehmood et al 2020 ), heat conduction model (Raja et al 2018 ), HIV infection model (Umar et al 2020b , c , d , e ), wire coating with Oldroyd 8-constant fluid model (Munir et al 2019 ), prediction differential system (Sabir et al 2020a , b , c ), periodic differential model (Sabir et al 2020a , b , c ) and cloud service optimization procedures (Yang et al 2019 ). ASA is applied in pricing American better-of option on two assets (Gao et al 2020 ), pressure-dependent models of water distribution systems with flow controls (Piller et al 2020 ), nonlinear optimization with polyhedral constraints (Hager and Tarzanagh 2020 ), numerical solution of the optimal control problem governed by partial differential equation (Azizi et al 2020 ), electrodynamic frictional contact problems (Abide et al 2021 ) and quadratic semidefinite program with general constraints (Shen et al 2021 ). The optimization process-based GA-ASA is applied to control the slowness of GA.…”

Numerical Simulations of Vaccination and Wolbachia on Dengue Transmission Dynamics in the Nonlinear Model

“…The active set, for instance, specifies the hyperplanes that cross at the solution point while solving a linear programming issue. Here are few contributions that us ASA such that water supply model to manage the flow [58], optimal control issue based on PDE [59], node-based shape optimization [60], and for electrodynamic problems [61].…”

Investigations of non-linear induction motor model using the Gudermannian neural networks

“…Subsequently, a well-ordered local search AST is implemented to adjust the parameters. AST is implemented in many recent applications, e.g., American better pricing choice on two assets [39], optimization with polyhedral constraints [40], pressure-dependent systems of water circulation based flow controls [41], numerical performances of the optimal control systems governed by the partial differential model [42], general constraints of the quadratic semidefinite program [43] and electrodynamic frictional contact models [44]. The detail of the implementation procedures of GA-AST is provided in the pseudocode-based Table 1.…”