A Study of Some Neutrosophic Derivatives Problems Based On Newton's BDF and CDF Numerical Methods

Ahmad A. Abubaker¹, Mayada Abualhomos², Ahmed Atallah Alsaraireh³, Abdallah Al-Husban^4,5,*

¹Faculty of Computer Studies, Arab Open University, Saudi Arabia

²Applied Science Private University Amman, 11931, Jordan

³The university of Jordan, Aqaba Department of computer information systems

⁴Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan

⁵Jadara Research Center, Jadara University, Irbid 21110, Jordan

Emails: a.abubaker@arabou.edu.sa; abuhomos@asu.edu.jo; a.alsarairah@ju.edu.jo; dralhosban@inu.edu.jo

Abstract

This paper is dedicated to study for the first time the applications of neutrosophic BDF and CDF Newton's methods for finding the numerical solutions of some different problems related to the derivations from first and second order applied on neutrosophic-tabulated functions, where we apply those novel methods on some problems and list the solutions by using the numerical tables. In addition, we provide a theoretical discussion and description of these methods to be applicable on other numerical problems.

Keywords: Numerical table; Numerical function; Derivation; Newton's methods