Minimizing using BBO and DFO methods

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dc.contributor.author El Zeghondy, Jean
dc.date.accessioned 2022-07-28T06:16:07Z
dc.date.available 2022-07-28T06:16:07Z
dc.date.copyright 2022 en_US
dc.date.issued 2022-05-19
dc.identifier.uri http://hdl.handle.net/10725/13890
dc.description.abstract In [1], Nour and Zeidan proposed a numerical algorithm to solve optimal control problems involving sweeping processes. In order to apply this algorithm to real life problems, two numerical methods need to be developed: A numerical method to solve nonlinear differential equations, and a numerical method to nd the minimum of an objective function (given only numerically) in fi nite dimensional spaces. The goal of this thesis is to develop two MATLAB codes for the numerical algorithm of [1]. To solve nonlinear differential equations we use Runge-Kutta method of fourth order, and for the minimization part, we use two different methods, namely Nelder-Mead and Model Based Descent methods. Our codes are then applied to several examples and their efficiencies are discussed. en_US
dc.language.iso en en_US
dc.subject Differential equations, Nonlinear -- Numerical solutions en_US
dc.subject Runge-Kutta fomulas en_US
dc.subject Computer algorithms en_US
dc.subject Mathematical optimization en_US
dc.subject Lebanese American University -- Dissertations en_US
dc.subject Dissertations, Academic en_US
dc.title Minimizing using BBO and DFO methods en_US
dc.type Thesis en_US
dc.title.subtitle Application to sweeping process en_US
dc.term.submitted Spring en_US
dc.author.degree MS in Applied and Computational Mathematics en_US
dc.author.school SAS en_US
dc.author.idnumber 202004733 en_US
dc.author.commembers El Khatib, Nader
dc.author.commembers Takche, Jean
dc.author.department Computer Science And Mathematics en_US
dc.description.physdesc 1 online resource (x, 30 leaves): ill. en_US
dc.author.advisor Nour, Chadi
dc.keywords Optimal Control en_US
dc.keywords Sweeping process en_US
dc.keywords BBO method en_US
dc.keywords Nelder-Mead method en_US
dc.keywords Local search heuristic en_US
dc.keywords Model Based Descent method en_US
dc.keywords DFO method en_US
dc.description.bibliographiccitations Bibliography: leaf 30. en_US
dc.identifier.doi https://doi.org/10.26756/th.2022.402
dc.author.email jean.zeghondy@lau.edu.lb en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/thesis.php en_US
dc.publisher.institution Lebanese American University en_US
dc.author.affiliation Lebanese American University en_US

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