Numerical solution of non-linear fourth order fractional sub-diffusion wave equation with time delay

Sarita Nandal and Dwijendra Narain Pandey

Applied Mathematics and Computation, 2020, vol. 369, issue C

Abstract: In this paper, we constructed a linearized compact difference scheme for fourth order non-linear fractional sub-diffusion equation with time delay and variable coefficients. The primary purpose of our work is to use the idea of the L2−1σ formula for temporal dimension and compact linear operator for spatial dimension. The proposed method is unconditionally stable and convergent to the analytical solution with the order of convergence O(τ2+h4), where τ and h are temporal and spatial lengths, respectively. Numerical experimentation is carried out to show the efficiency and accuracy of the proposed scheme.

Keywords: Fourth order fractional sub-diffusion equation; L2−1σ formula; Compact difference scheme; Stability; Convergence (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:369:y:2020:i:c:s0096300319308926

DOI: 10.1016/j.amc.2019.124900

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