NUMERICAL STUDIES FOR SOLVING ABEL'S DIFFERENTIAL EQUATION

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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Publication Details

Journal
Malaysian Journal of Industrial Technology
Published
2024-12-01
DOI
https://doi.org/10.70672/9641zr57
Primary Topic
Numerical methods for differential equations
Type
article
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article

NUMERICAL STUDIES FOR SOLVING ABEL'S DIFFERENTIAL EQUATION

T. F. Abdulla Almajbri, Safaa.S.M abu-amr, A. B. Mohammed
Malaysian Journal of Industrial Technology
Numerical methods for differential equations
article

NUMERICAL STUDIES FOR SOLVING ABEL'S DIFFERENTIAL EQUATION

T. F. Abdulla Almajbri, Safaa.S.M abu-amr, A. B. Mohammed
article en

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.

Malaysian Journal of Industrial TechnologyVol. 8(4)
Omar Al-Mukhtar University (LY)
Openalex Percentile: Top 58%
Numerical methods for differential equations
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