University of MaraghehSahand Communications in Mathematical Analysis2322-580720420230901Numerical Solution of Differential Equations of Elastic Curves in 3-dimensional Anti-de Sitter Space17118970657910.22130/scma.2022.556633.1135ENSamiraLatifiDepartment of Mathematics and Applications, Faculty of Science, University of Mohaghegh Ardabili, Ardabil, Iran.NematAbazariDepartment of Mathematics and Applications, Faculty of Science, University of Mohaghegh Ardabili, Ardabil, Iran.0000-0001-9101-6312GhaderGhasemiDepartment of Mathematics and Applications, Faculty of Science, University of Mohaghegh Ardabili, Ardabil, Iran.0000-0001-9101-6312Journal Article20220627In this paper, we aim to extend the Darboux frame field into 3-dimensional Anti-de Sitter space and obtain two cases for this extension by considering a parameterized curve on a hypersurface; then we carry out the Euler-Lagrange equations and derive differential equations for non-null elastic curves in AdS$_{3}$ (i.e. 3-dimensional Anti-de Sitter space). In this study, we investigate the elastic curves in AdS$_{3}$ and obtain equations through which elastic curves are found out. Therefore, we solve these equations numerically and finally plot and design some elastic curves.https://scma.maragheh.ac.ir/article_706579_acc051e72afb6c26018be66dbc062f29.pdf