Closed-Form Solutions for Cauchy-Euler Differential Equations through the New Iterative Method (NIM)

Authors

Belal Batiha, Faculty of Science and Information Technology, Jadara University, Irbid, JordanFollow
Ahmed Salem Heila, Faculty of Science and Information Technology, Jadara University, Irbid, JordanFollow
Firas Ghanim, College of Sciences, University of Sharjah, Sharjah, United Arab EmiratesFollow

Author Country (or Countries)

Jordan

Abstract

In this paper, a new iterative method (NIM) is proposed for solving Cauchy-Euler differential equations. NIM simplifies the computational process and directly addresses both linear and nonlinear, homogeneous and non-homogeneous equations, while being user-friendly and accessible. The method’s efficiency, reliability, and accuracy are demonstrated through four examples. NIM offers a versatile and practical solution, making it a valuable tool for mathematical analysis.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170314

Recommended Citation

Batiha, Belal; Salem Heila, Ahmed; and Ghanim, Firas (2023) "Closed-Form Solutions for Cauchy-Euler Differential Equations through the New Iterative Method (NIM)," Applied Mathematics & Information Sciences: Vol. 17: Iss. 3, Article 14.
DOI: http://dx.doi.org/10.18576/amis/170314
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss3/14