A direct integral pseudospectral method for solving a class of infinite-horizon optimal control problems using Gegenbauer polynomials and certain parametric maps

KT Elgindy, HM Refat - arXiv preprint arXiv:2207.05467, 2022 - arxiv.org
We present a novel direct integral pseudospectral (PS) method (a direct IPS method) for
solving a class of continuous-time infinite-horizon optimal control problems (IHOCs). The …

A numerical scheme based on the collocation and optimization methods for accurate solution of sensitive boundary value problems

MA Mehrpouya, R Salehi - The European Physical Journal Plus, 2021 - Springer
Despite the significant advances in the numerical solution of nonlinear boundary value
problems, most of the existing methods still encounter with a high sensitivity to the initial …

A new approach for solving infinite horizon optimal control problems using Laguerre functions and Ritz spectral method

K Mamehrashi, A Nemati - International Journal of Computer …, 2020 - Taylor & Francis
In this paper, a new numerical scheme is constructed to solve a class of Infinite Horizon
Optimal Control Problems (IHOCPs). The idea is to extend the spectral Ritz method to solve …

Numerical solution of two-point BVPs in infinite-horizon optimal control theory: A combined quasilinearization method with exponential Bernstein functions

Z Nikooeinejad, M Heydari… - International Journal of …, 2021 - Taylor & Francis
This study is aimed to relate nonlinear infinite-horizon optimal control problems (NLIHOCPs)
with open-loop information. The difficulties of solving the two-point boundary value problems …

A fully discretization approach for nonlinear Phi-four equations

MA Mehrpouya - Computational Mathematics and Computer …, 2024 - cmcma.sbu.ac.ir
In this paper, a fully discretization approach is established for accurate and efficient solution
of nonlinear time-dependent Phi-four equations arising in particle physics and quantum …

Transformed orthogonal functions for solving infinite horizon fractional optimal control problems

M Shahini, MA Mehrpouya - European Journal of Control, 2021 - Elsevier
In the present paper, an efficient numerical method for solution of infinite horizon fractional
optimal control problems is investigated. The fractional derivative in such problems is …