THERMAL SCIENCE

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Pu Zhang

,

Lili Cao

A NOVEL BOX-TYPE SCHEME FOR VARIABLE COEFFICIENT FRACTIONAL SUB-DIFFUSION EQUATIONUNDER NEUMANN BOUNDARY CONDITIONS

ABSTRACT
In this paper, a novel box-type scheme with convergence order O(τ3-α + h2) is constructed for the fractional sub-diffusion equation with spatially variable coefficient under Neumann boundary conditions. Using L2 formula and the energy method, stability of the scheme are proved. A numerical example is carried out and the result meets with the theoretical analysis.
KEYWORDS
fractional sub-diffusion equation, L2 formula, box-type scheme
PAPER SUBMITTED: 2023-03-15
PAPER REVISED: 2023-05-20
PAPER ACCEPTED: 2023-06-21
PUBLISHED ONLINE: 2024-09-28
DOI REFERENCE: https://doi.org/10.2298/TSCI2404435Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 4, PAGES [3435 - 3441]
REFERENCES
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  3. Alikhanov, A. A., A New Difference Scheme for the Time Fractional Diffusion Equation, Journal of Computational Physics, 280 (2015), 15, pp. 424-438
  4. Du, R., et al., Temporal Second Order Difference Schemes for the Multi-Dimensional Variable-Order Time Fractional Sub-Diffusion Equations, Computers and Mathematics with Applications, 79 (2020), 10, pp. 2952-2972
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A novel box-type scheme for variable coefficient fractional sub-diffusion equationunder Neumann boundary conditions

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence