Detailed error analysis for a fractional Adams method
type: Item
instance of: scholarly article
title: Detailed error analysis for a fractional Adams method
zbMATH Open document ID: 1055.65098
author: Kai Diethelm
author: Neville J. Ford
author: Alan David Freed
published in: Numerical Algorithms
publication date: 2004-08-06T00:00:00Z
review text: The authors use the equivalent Volterra integral equation to derive a generalization of the Adams-Bashforth/Moulton method for a fractional differential equation. They provide an error analysis and give a numerical example.
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 2081593
zbMATH Keywords: fractional differential equation
zbMATH Keywords: Caputo derivative
zbMATH Keywords: Adams-Bashforth-Moulton method
zbMATH Keywords: numerical example
reviewed by: J. D. P. Donnelly
MaRDI profile type: Publication
Wikidata QID: Q59411822
full work available at URL: b:numa.0000027736.85078.be
OpenAlex ID: W1978349032
DOI: 10.1023/B:NUMA.0000027736.85078.BE
description: scientific article; zbMATH DE number 2081593