A third-order numerical method for solving fractional ordinary differential equations

A third-order numerical method for solving fractional ordinary differential equations

In this paper, we developed a novel numerical method for solving general nonlinear fractional ordinary differential equations (FODEs). First, we transformed the nonlinear FODEs into the equivalent Volterra integral equations. We then developed a time-stepping algorithm for the numerical solution of...

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Bibliographic Details
Main Authors: Xiaopeng Yi, Chongyang Liu, Huey Tyng Cheong, Kok Lay Teo, Song Wang
Format: Article
Language:English
Published: AIMS Press 2024-07-01
Series:AIMS Mathematics
Subjects:
fractional ordinary differential equations
time-stepping discretization
implicit scheme
newton's method
convergence analysis
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241026?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20241026?viewType=HTML

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