Reduced spline method based on a proper orthogonal decomposition technique for fractional sub-diffusion equations

DOI10.1016/j.apnum.2018.11.014zbMath1407.65103OpenAlexW2903040771WikidataQ128827585 ScholiaQ128827585MaRDI QIDQ1728330

Farideh Ghoreishi, Rezvan Ghaffari

Publication date: 22 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.11.014

zbMATH Keywords

graded meshescubic spline methodfractional sub-diffusion equationsL1 schemenon-polynomial spline methodproper orthogonal decomposition (POD) methodreduced spline (RS) scheme

Mathematics Subject Classification ID

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) Fractional partial differential equations (35R11)

Related Items (8)

A low-dimensional compact finite difference method on graded meshes for time-fractional diffusion equations ⋮ The reduced-dimension technique for the unknown solution coefficient vectors in the Crank-Nicolson finite element method for the Sobolev equation ⋮ Framework for treating non-linear multi-term fractional differential equations with reasonable spectrum of two-point boundary conditions ⋮ Two-grid dimension reduction method of Crank-Nicolson mixed finite element solution coefficient vectors for the fourth-order extended Fisher-Kolmogorov equation ⋮ The dimension reduction method of two-grid Crank-Nicolson mixed finite element solution coefficient vectors for nonlinear fourth-order reaction diffusion equation with temporal fractional derivative ⋮ Error analysis of the reduced RBF model based on POD method for time-fractional partial differential equations ⋮ A reduced-order extrapolated technique about the unknown coefficient vectors of solutions in the finite element method for hyperbolic type equation ⋮ A SPECTRAL APPROACH FOR TIME-FRACTIONAL DIFFUSION AND SUBDIFFUSION EQUATIONS IN A LARGE INTERVAL

Uses Software

• Adaptative L1 TE and Predictive

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