NUMERICAL STUDIES FOR SOLVING ABEL'S DIFFERENTIAL EQUATION

Authors

  • T. F. A. Almajbri. University of Omar Al-Mokhtar, El-Baida, Libya
  • S. S. M. abu-amr University of Omar Al-Mokhtar, El-Baida, Libya
  • A. B. Mohammed University of Omar Al-Mokhtar, El-Baida, Libya

DOI:

https://doi.org/10.70672/9641zr57

Keywords:

Abel differential equation; Euler's method; Taylor series expansion; Adomian decomposition method; Runge-Kutta method.

Abstract

This paper uses the Abel's Equation, often used in various fields including physics and engineering, represents a mathematical model that can be complex to solve analytically. This research focuses on solving the Abel's Equation using several numerical methods: Euler's method, Taylor series method, Adomian decomposition method, and Runge-Kutta method. Each method has its advantages and applicability depending on the specific characteristics of the equation being solved.

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Published

01-12-2024

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How to Cite

T. F. A. Almajbri., S. S. M. abu-amr, & A. B. Mohammed. (2024). NUMERICAL STUDIES FOR SOLVING ABEL’S DIFFERENTIAL EQUATION. Malaysian Journal of Industrial Technology , 8(4), 93-104. https://doi.org/10.70672/9641zr57