Higher order numerical approximations for non-linear time-fractional reaction-diffusion equations exhibiting weak initial singularity
DOI10.1016/J.CNSNS.2024.108317zbMATH Open1547.65147MaRDI QIDQ6604236
Publication date: 12 September 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
stabilitysingularityerror boundgraded meshnon-linearityfractional reaction-diffusion equationparametric quintic spline
Numerical computation using splines (65D07) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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 element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Singularity in context of PDEs (35A21) Fractional partial differential equations (35R11)
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