A novel variant of a product integration method and its relation to discrete fractional calculus

DOI10.1016/J.APNUM.2016.09.014zbMath1357.65322OpenAlexW2530496205MaRDI QIDQ509434

José Alberto Cuminato, Sean McKee

Publication date: 9 February 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.09.014

zbMATH Keywords

convergencenumerical exampleAbel integral equationtruncation errorsdiscrete fractional calculusweak singularitiessingular integrand

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (2)

Research on fast numerical calculation based on fractional calculus model for macroeconomic growth ⋮ Nontrivial solutions for a fractional differential equation with nonlocal Riemann-Stieltjes boundary conditions

Cites Work

• Unnamed Item
• Recent history of fractional calculus
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Product integration methods for second-kind Abel integral equations
• High order product integration methods for a Volterra integral equation with logarithmic singular kernel
• Product integration methods for solving a system of nonlinear Volterra integral equations
• A product integration method for a class of singular first kind Volterra equations
• Product Integration-Collocation Methods for Noncompact Integral Operator Equations
• Multistep Methods for Solving Linear Volterra Integral Equations of the First Kind
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Product integration methods for Volterra integral equations of the first kind

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