THERMAL SCIENCE

International Scientific Journal

Vahid Reza Hosseini

,

Mohamad Remazani

,

Wennan Zou

,

Seddigheh Banihashemii

STOCHASTIC MODEL FOR MULTI-TERM TIME-FRACTIONAL DIFFUSION EQUATIONS WITH NOISE

ABSTRACT
This paper studies a spectral collocation approach for evaluating the numerical solution of the stochastic multi-term time-fractional diffusion equations associated with noisy data driven by Brownian motion. This model describes the symmetry breaking in molecular vibrations. The numerical solution of the stochastic multi-term time-fractional diffusion equations is proposed by means of collocation points method based on sixth-kind Chebyshev polynomial approach. For this purpose, the problem under consideration is reduced to a system of linear algebraic equations. Two examples highlight the robustness and accuracy of the proposed numerical approach.
KEYWORDS
stochastic time-fractional heat equation, multi-term time-fractional
PAPER SUBMITTED: 2021-04-23
PAPER REVISED: 1970-01-01
PAPER ACCEPTED: 2021-05-07
PUBLISHED ONLINE: 2021-12-18
DOI REFERENCE: https://doi.org/10.2298/TSCI21S2287H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Special issue 2, PAGES [287 - 293]
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Stochastic model for multi-term time-fractional diffusion equations with noise

© 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