Numerical treatment of non-linear fourth-order distributed fractional sub-diffusion equation with time-delay

DOI10.1016/j.cnsns.2019.105146zbMath1452.65172OpenAlexW2992376973MaRDI QIDQ2207828

Sarita Nandal, Dwijendra Narain Pandey

Publication date: 23 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2019.105146

zbMATH Keywords

stabilityconvergencecompact difference schemedistributed fractional derivative\(L2-1_\sigma\) formula

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11) PDEs on time scales (35R07)

Related Items (8)

L1 method on nonuniform meshes for linear time-fractional diffusion equations with constant time delay ⋮ Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong? ⋮ Chebyshev cardinal polynomials for delay distributed-order fractional fourth-order sub-diffusion equation ⋮ Finite difference schemes for the fourth‐order parabolic equations with different boundary value conditions ⋮ The compact difference approach for the fourth‐order parabolic equations with the first Neumann boundary value conditions ⋮ A generalized fractional-order Chebyshev wavelet method for two-dimensional distributed-order fractional differential equations ⋮ Numerical technique for fractional variable-order differential equation of fourth-order with delay ⋮ A fast difference scheme for the variable coefficient time-fractional diffusion wave equations

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