An Adomian decomposition method with some orthogonal polynomials to solve nonhomogeneous fractional differential equations (FDEs)

An Adomian decomposition method with some orthogonal polynomials to solve nonhomogeneous fractional differential equations (FDEs)

The present study introduced modifications to the standard Adomian decomposition method (ADM) by combining the Taylor series with orthogonal polynomials, such as Legendre polynomials and the first and second kinds of Chebyshev polynomials. These improvements can be applied to solve fractional differ...

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Bibliographic Details
Main Authors: Mariam Al-Mazmumy, Maryam Ahmed Alyami, Mona Alsulami, Asrar Saleh Alsulami, Saleh S. Redhwan
Format: Article
Language:English
Published: AIMS Press 2024-10-01
Series:AIMS Mathematics
Subjects:
fractional differential equation
initial-value problem
adomian decomposition method
taylor series
legendre polynomials
chebyshev polynomials
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241475?viewType=HTML
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