Numerical technique for fractional variable-order differential equation of fourth-order with delay

Nandal, Sarita; Pandey, Deepak

doi:10.1016/j.apnum.2020.11.021

Cited by 5 publications

(1 citation statement)

References 40 publications

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“…The analytical solution of this problem is only gained for the linear case when the coefficients constants. Recently, the authors of [32][33][34] constructed numerical techniques for this problem with fourth-order fractional diffusion wave equations and some modifications have been considered in [35]. In [36], a Newtonlinearized compact ADI scheme for Riesz space fractional nonlinear reaction-diffusion equations was constructed and analyzed.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation for a Multidimensional Fourth-Order Nonlinear Fractional Subdiffusion Model with Time Delay

et al. 2021

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The purpose of this paper is to develop a numerical scheme for the two-dimensional fourth-order fractional subdiffusion equation with variable coefficients and delay. Using the L2−1σ approximation of the time Caputo derivative, a finite difference method with second-order accuracy in the temporal direction is achieved. The novelty of this paper is to introduce a numerical scheme for the problem under consideration with variable coefficients, nonlinear source term, and delay time constant. The numerical results show that the global convergence orders for spatial and time dimensions are approximately fourth order in space and second-order in time.

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