TY - JOUR ID - 9925 TI - Shortest Path Problem With Ordinary Differential Equations Constrained JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Babapour Azar, Ali AU - Hosseini Nodeh, Zohreh AD - School of Mathematics, University of Tabriz,Tabriz, Iran. Y1 - 2020 PY - 2020 VL - 8 IS - 4 SP - 661 EP - 672 KW - Implicit method KW - Shortest path KW - Constrained differential equations DO - 10.22034/cmde.2020.33231.1537 N2 - ‎Many quick-link optimization models of transferring corrosive materials, need some constraints to change the output space such that all of the criteria are met, which forms a nonlinear problem with specific constraints. So we use an approach for finding global solutions of mixed-integer nonlinear optimization problems with ordinary differential equation constraints on the shortest path problem connective body composition because we need to save time. For the solution of constrained differential equations, we present a numerical method by coupling an implicit numerical method, and the results will be expressed by showing that the optimal path is selected. UR - https://cmde.tabrizu.ac.ir/article_9925.html L1 - https://cmde.tabrizu.ac.ir/article_9925_c88837383c23e713009dc8671c5529bf.pdf ER -