Work

Treatment of a generalized scalar differential equation: analysis and explicit solution

Year: 2025

Type: article

Abstract: Obtaining a solution of a given SDE is essential in neuroscience, especially, in modeling transmission of nerve impulses between neurons through myelin substance. This paper analyzes a particular scalar differential equation (SDE). The current scalar model involves two categories of differential equations–advanced and delayed–based on the domain of the independent variable. The results are consistent with existing literature as the advance/delay parameter approaches unity. Theoretical and graphical analyses of the solution’s properties are presented. To the best of our knowledge, this is the first study to analyze this form of SDE.

Source: Frontiers in Physics

DOI: 10.3389/fphy.2025.1611846

Authors: Laila F. Seddek, Essam R. El-Zahar, Abdelhalim Ebaid, A. A. Al Qarni

Institutions: Prince Sattam Bin Abdulaziz University, University of Tabuk, University of Bisha

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,077

Funder: Prince Sattam bin Abdulaziz University