Thermal Science

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APPLICATION OF LOCAL MESHLESS METHOD FOR THE SOLUTION OF TWO TERM TIME FRACTIONAL-ORDER MULTI-DIMENSIONAL PDE ARISING IN HEAT AND MASS TRANSFER

ABSTRACT

In this article, we presented an efficient local meshless method for the numerical treatment of two term time fractional-order multi-dimensional diffusion PDE. The demand of meshless techniques increment because of its meshless nature and simplicity of usage in higher dimensions. This technique approximates the solution on set of uniform and scattered nodes. The space derivatives of the models are discretized by the proposed meshless procedure though the time fractional part is discretized by Liouville-Caputo fractional derivative. The numerical results are obtained for 1-, 2- and 3-D cases on rectangular and non-rectangular computational domains which verify the validity, efficiency and accuracy of the method.

KEYWORDS

two term diffusion equation, Liouville-Caputo derivative, Meshless method, radial basis function

PAPER SUBMITTED: 2020-04-15

PAPER REVISED: 2020-05-29

PAPER ACCEPTED: 2020-06-01

PUBLISHED ONLINE: 2020-10-25

DOI REFERENCE: https://doi.org/10.2298/TSCI20S1095A

CITATION EXPORT: view in browser or download as text file

THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Supplement, PAGES [95 - 105]

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Application of local meshless method for the solution of two term time fractional-order multi-dimensional PDE arising in heat and mass transfer

© 2026 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

THERMAL SCIENCE

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Imtiaz Ahmad

Hijaz Ahmad

Mustafa Inc

Shao-Wen Yao

Bandar Almohsen

APPLICATION OF LOCAL MESHLESS METHOD FOR THE SOLUTION OF TWO TERM TIME FRACTIONAL-ORDER MULTI-DIMENSIONAL PDE ARISING IN HEAT AND MASS TRANSFER