TY - JOUR
T1 - Linearisation of Boundary Optimal Control Problems by Finite Element Method
AU - N. Davoodi, A. Kerayechian , M. Gachpazan
JO - Journal of Information and Computing Science
VL - 1
SP - 041
EP - 046
PY - 2024
DA - 2024/01
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22727.html
KW -  Finite  element  method, Ordinary differential  equation,  Min-max  objective function, Discrete 
maximum principle.  

AB -  Purpose of  this paper  is  to  solve  a nonstandard optimal  control problem  governed  by  ordinary 
differential  equation  by  finite  element  method.  In  the  first  part  of  the  paper,  we  describe  the  method  of 
discretisation  of  continuous  optimal  control  problem  and  then  linearize  the  problem  and  obtain  a  linear 
programming. By solving the linear programming, the control and state functions and the value of objective 
function are obtained.