A fourth order non-polynomial quintic spline collocation technique for solving time fractional superdiffusion equations

DOI10.1186/s13662-019-2442-4zbMath1487.65163OpenAlexW2996317700WikidataQ126580849 ScholiaQ126580849MaRDI QIDQ2142031

Muhammad Kashif Iqbal, Muhammad Abbas, Muhammad Amin, Ahmad Izani Mohamed Ismail, Dumitru Baleanu

Publication date: 25 May 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2442-4

zbMATH Keywords

Caputo fractional derivativesuperdiffusion equationnon-polynomial quintic splinefinite central difference approach

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (7)

MEMORY EFFECT ANALYSIS USING PIECEWISE CUBIC B-SPLINE OF TIME FRACTIONAL DIFFUSION EQUATION ⋮ An efficient numerical method for solving a class of variable-order fractional mobile-immobile advection-dispersion equations and its convergence analysis ⋮ Fractional unit-root tests allowing for a fractional frequency flexible Fourier form trend: predictability of Covid-19 ⋮ A collocation method based on cubic trigonometric B-splines for the numerical simulation of the time-fractional diffusion equation ⋮ Uniformly convergent nonpolynomial spline method for singularly perturbed Robin-type boundary value problems with discontinuous source term ⋮ Unnamed Item ⋮ An efficient cubic trigonometric B-spline collocation scheme for the time-fractional telegraph equation

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