THERMAL SCIENCE

International Scientific Journal

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Shuxian Deng

,

Wenguang Ji

A MULTIPOLE FAST ASYMPTOTIC ALGORITHM FOR A CLASS OF EQUATIONS BASED ON THE FLOW FUNCTION METHOD WITH FRACTIONAL ORDER LAPLACE TRANSFORM

ABSTRACT
As a mature and reliable method, this study is based on the flow function method for mathematical modeling and establishes a class of mathematical models that are approximately realistic, flexible, and easy to calculate. According to the characteristics of fractional order calculus, the initial boundary conditions are modified and optimized to reduce the model error of this class of equations. According to the minimum energy principle and linearized integral calculation method, the multi-field multi-parameter non-linear coupling problem in the calculation process is solved, and the rapid calculation of the initial boundary model is realized. The accuracy of the model is tested by numerical simulation and simulation validation of different processes. A reliable theoretical and technical support is provided for the calculation of this type of equations.
KEYWORDS
fractional order, laplace transform, asymptotic
PAPER SUBMITTED: 2022-08-05
PAPER REVISED: 2023-07-02
PAPER ACCEPTED: 2023-08-09
PUBLISHED ONLINE: 2024-05-18
DOI REFERENCE: https://doi.org/10.2298/TSCI2403361D
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 3, PAGES [2361 - 2370]
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A multipole fast asymptotic algorithm for a class of equations based on the flow function method with fractional order Laplace transform

© 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