A two-grid temporal second-order scheme for the two-dimensional nonlinear Volterra integro-differential equation with weakly singular kernel

DOI10.1007/s10092-023-00508-6OpenAlexW4318408320MaRDI QIDQ2685987

Yanyan Li

Publication date: 23 February 2023

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.00211

zbMATH Keywords

numerical experimentsstability and convergenceaccurate second ordernonlinear fractional evolution equationtime two-grid algorithm

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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