Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 13 1 2022 03 01 Establishing mathematical models for determining quantum dot potential for pbs and pbte structures in terms of QD's diameters by numerical methods 729 735 5575 10.22075/ijnaa.2022.5575 EN Aws Asaad Hamdi Directorate of Education Salah Eddin, Ministry of Education, Iraq Ghassan Ezzulddin Arif Department of Mathematics, College of Education for Pure Sciences, Tikrit University, Iraq Anas Asaad Hamdi Directorate General of Education in Salah al-Din Province, Iraq Journal Article 2021 08 08 The main goal of this paper is to obtain the estimated determination of the quantum dot potential for PbS and PbTe structures (in mV) which are compared to other values at different QD's diameters (in nm). In order to investigate this goal, the study relies on two methods of interpolation such as Neville and Spline methods, as well as it constructs mathematical models that help to find the estimate determination of quantum dot potential for PbS and PbTe structures compared to other values at different QD's diameters. The numerical results were very close to the real results. Finally, we estimated the determinations outside the fields and labs of the measured areas. https://ijnaa.semnan.ac.ir/article_5575_cb9f733233e1c25508e2fdcb1cc96a7d.pdf