Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions

DOI10.1016/j.apnum.2022.04.021zbMath1503.65257OpenAlexW4225422171WikidataQ113880073 ScholiaQ113880073MaRDI QIDQ2143108

Yanyan Li

Publication date: 30 May 2022

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2022.04.021

zbMATH Keywords

local error estimateweakly singular solutionL1 schemetime-fractional KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

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• Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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