An efficient numerical treatment of fourth‐order fractional diffusion‐wave problems

DOI10.1002/num.22260zbMath1407.74099OpenAlexW2792070307WikidataQ58867189 ScholiaQ58867189MaRDI QIDQ4623379

Patricia J. Y. Wong, Xuhao Li

Publication date: 15 February 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22260

zbMATH Keywords

numerical solutionstability and convergencefractional differential equationdiffusion-wave equationparametric quintic spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Seismology (including tsunami modeling), earthquakes (86A15) 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) Finite difference methods applied to problems in solid mechanics (74S20) Hydro- and aero-acoustics (76Q05) Nonlinear constitutive equations for materials with memory (74D10) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11)

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