时间分数汉堡型方程的He-Laplace方法

IF 1.1 4区工程技术 Q4 THERMODYNAMICS

Thermal Science Pub Date : 2023-01-01 DOI:10.2298/tsci2303947c

Bin Chen, Lei Chen, Zhongze Xia

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引用次数: 3

摘要

时间分数汉堡型方程与He?s的分数阶导数。它是一种耦合拉普拉斯变换和HPM的数值方法。给出了不同分数阶初值问题的近似解，无需进行离散化处理和复杂的计算。数值结果验证了该方法的有效性。

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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He-Laplace method for time fractional burgers-type equations

The time fractional Burgers-type equations with He?s fractional derivative by He-Laplace method. It is a numerical approach coupled the Laplace transformation and HPM. The approximations to the initial value problem with different fractional orders are given without any discretization and complicated computation. Numerical results are provided to confirm its efficiency.

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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.