A Numerical Study of Neutrosophic Finite Difference Method and Some Applications

Isra Al-Shbeil^1,*, Ahmad A. Abubaker², Sara A. Khalil³, Maha Alammari⁴, Mohamed Soueycatt⁵, Abdallah Al-Husban^6,7

¹Department of Mathematics, faculty of science, University of Jordan, Amman 11942, Jordan

²Faculty of Computer Studies, Arab Open University, Saudi Arabia

³Mathematics Department, Faculty of Science, Applied Science Private University (ASU) Amman, Jordan

⁴Department of Mathematics, College of Science, King Saud University, Box 22452 Riyadh 11495, Saudi Arabia

⁵Department of Bioengineering, Al-Andalus Private University for Medical Sciences, Syria

⁶Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan

⁷Jadara Research Center, Jadara University, Irbid 21110, Jordan

Emails: i.shbeil@ju.edu.jo; a.abubaker@arabou.edu.sa; s_khalil@asu.edu.jo;

malammari@ksu.edu.sa; m.soueycatt55@au.edu.sy; dralhosban@inu.edu.jo

Abstract

In this paper, we present some results about the neutrosophic-generalized version of finite-difference method, where we prove its essential properties, and we apply it to many different examples to clarify the validity of our work. In addition, some numerical tables related to the results will be clarified and presented.

Keywords: Neutrosophic equation; Neutrosophic FDM; Numerical table; Numerical application