An efficient parametric finite difference and orthogonal spline approximation for solving the weakly singular nonlinear time-fractional partial integro-differential equation

DOI10.1007/s40314-023-02491-8OpenAlexW4388339828MaRDI QIDQ6184784

Hossein Aminikhah, Javad Alavi

Publication date: 5 January 2024

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-023-02491-8

zbMATH Keywords

weakly singular kernelCaputo fractional derivativenonlinear time-fractional partial integro-differential equationorthogonal spline approximationparametric finite difference methodrieman-Liouville fractional integral

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Integro-partial differential equations (45K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Functional-differential equations with fractional derivatives (34K37)

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