用局部无网格微分正交法对数学和物理中出现的时间分数阶偏微分方程进行数值模拟

IF 1.1 4区工程技术 Q4 THERMODYNAMICS

Thermal Science Pub Date : 2023-01-01 DOI:10.2298/tsci23s1263a

Bander N. Almutairi, I. Ahmad, Bandar Almohsen, H. Ahmad, D. Ozsahin

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引用次数: 5

摘要

本文采用一种有效的局部微分求积分方法，对二维时间分数型Sobolev方程的数值解进行了近似。模型方程的时间分数阶部分采用Liouville-Caputo分数阶导数技术，而空间导数采用推荐的无网格方法。测试问题用于进行数值实验。为了评估所建议的无网格方法的有效性和准确性，我们将我们的结果与最近文献中提出的精确解和数值方法进行了比较。结果表明，该方法具有较高的计算效率和较好的性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Numerical simulations of time-fractional PDES arising in mathematics and physics using the local Meshless differential quadrature method

The numerical solution of the 2-D time-fractional Sobolev equations is approximated using an efficient local differential quadrature method, in this paper. The time-fractional part of the model equations uses the Liouville-Caputo fractional derivative technique, however, the recommended meshless method is employed for the space derivatives. Test problems are used to undertake numerical experiments. In order to evaluate the effectiveness and accuracy of the suggested meshless method, we compared our outcomes with the exact solution and numerical methods presented in more recent literature. This comparison showed that the proposed method is more efficient computationally and yields excellent performance.

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来源期刊

Thermal Science 工程技术-热力学

CiteScore

2.70

自引率

29.40%

发文量

399

审稿时长

5 months

期刊介绍： The main aims of Thermal Science to publish papers giving results of the fundamental and applied research in different, but closely connected fields: fluid mechanics (mainly turbulent flows), heat transfer, mass transfer, combustion and chemical processes in single, and specifically in multi-phase and multi-component flows in high-temperature chemically reacting flows processes present in thermal engineering, energy generating or consuming equipment, process and chemical engineering equipment and devices, ecological engineering, The important characteristic of the journal is the orientation to the fundamental results of the investigations of different physical and chemical processes, always jointly present in real conditions, and their mutual influence. To publish papers written by experts from different fields: mechanical engineering, chemical engineering, fluid dynamics, thermodynamics and related fields. To inform international scientific community about the recent, and most prominent fundamental results achieved in the South-East European region, and particularly in Serbia, and - vice versa - to inform the scientific community from South-East European Region about recent fundamental and applied scientific achievements in developed countries, serving as a basis for technology development. To achieve international standards of the published papers, by the engagement of experts from different countries in the International Advisory board.