Runge-Kutta convolution quadrature methods with convergence and stability analysis for nonlinear singular fractional integro-differential equations

DOI10.1016/j.cnsns.2019.105132zbMath1450.65182OpenAlexW2995765547WikidataQ126542814 ScholiaQ126542814MaRDI QIDQ2204411

Rui Zhu, Gengen Zhang

Publication date: 15 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2019.105132

zbMATH Keywords

convergencestability analysisfractional integro-differential equationRunge-Kutta convolution quadrature method

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

A block-by-block approach for nonlinear fractional integro-differential equations ⋮ Application of Müntz orthogonal functions on the solution of the fractional Bagley-Torvik equation using collocation method with error stimate ⋮ Iterative Continuous Collocation Method for Solving nonlinear Volterra Integro-differential Equations ⋮ Two-dimensional Euler polynomials solutions of two-dimensional Volterra integral equations of fractional order ⋮ Stochastic fractional integro-differential equations with weakly singular kernels: well-posedness and Euler-Maruyama approximation

Uses Software

• RODAS

Cites Work

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