THERMAL SCIENCE

International Scientific Journal

Mehnaz Shakeel

,

Muhammad Nawaz Khan

,

Imtiaz Ahmad

,

Hijaz Ahmad

,

Nantapat Jarasthitikulchai

,

Weerawat Sudsutad

LOCAL MESHLESS COLLOCATION SCHEME FOR NUMERICAL SIMULATION OF SPACE FRACTIONAL PDE

ABSTRACT
In this work, numerical solution of multi term space fractional PDE is calculated by using radial basis functions. The fractional derivatives of radial basis functions are evaluated by Caputo and Riemann-Liouville definitions. Local radial basis functions are applied to get stable and accurate solution the problem. Accuracy of the method is assessed by using double mesh procedure. Numerical solutions are presented for different fractional orders to show the effect of introducing fractionality.
KEYWORDS
Meshless method, Caputo derivative, space fractional, radial basis functions
PAPER SUBMITTED: 2022-02-01
PAPER REVISED: 2022-03-04
PAPER ACCEPTED: 2022-03-14
PUBLISHED ONLINE: 2023-04-08
DOI REFERENCE: https://doi.org/10.2298/TSCI23S1101S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Special issue 1, PAGES [101 - 109]
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Local meshless collocation scheme for numerical simulation of space fractional PDE

© 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