An H2N2 interpolation for Caputo derivative with order in \((1,2)\) and its application to time-fractional wave equations in more than one space dimension

DOI10.1007/s10915-020-01219-8zbMath1439.65098OpenAlexW3024512247MaRDI QIDQ2188038

Yanyan Li

Publication date: 3 June 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-020-01219-8

zbMATH Keywords

convergencedifference schemefast algorithmCaputo derivativefast Poisson solverfractional wave equationH2N2 interpolation

Mathematics Subject Classification ID

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) Numerical interpolation (65D05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)

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