On the Numerical Solutions for Some Neutrosophic Singular Boundary Value Problems by Using (LPM) Polynomials

Ahmad A. Abubaker^1.*, Raed Hatamleh², Khaled Matarneh¹, Abdallah Al-Husban^{3, 4}

¹Faculty of Computer Studies, Arab Open University, Saudi Arabia
²Department of Mathematics, Faculty of Science and Information Technology, Jadara University, P.O. Box 733, Irbid 21110, Jordan

³Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan
⁴Jadara Research Center, Jadara University, Irbid 21110, Jordan

Emails: a.abubaker@arabou.edu.sa; raed@jadara.edu.jo; k.matarneh@arabou.edu.sa; dralhosban@inu.edu.jo

Abstract

The main goal of this work is to study the effect of applying Lagrange's polynomials on finding the numerical solutions of many different neutrosophic boundary value problems, where we use those polynomials to solve three different neutrosophic boundary value problems numerically, and we present many numerical tables to compare the accuracy of the solutions obtained by Lagrange's polynomials with other famous methods such as Adomian's method.

Keywords: Lagrange's polynomials; Chebyshev's polynomials; Numerical solutions; Boundary value problem