A simple empirical formula of origin intensity factor in singular boundary method for two-dimensional Hausdorff derivative Laplace equations with Dirichlet boundary

被引：36
|
作者：
Wang, Fajie [1 ,2 ]
Chen, Wen [1 ]
Hua, Qingsong [2 ]
机构：
[1] Hohai Univ, Coll Mech & Mat, Ctr Numer Simulat Software Engn & Sci, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing 210098, Jiangsu, Peoples R China
[2] Qingdao Univ, Sch Electromech Engn, Qingdao 266071, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 76卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Hausdorff fractal distance; Empirical formula; Fractal; Singular boundary method; Origin intensity factor; FRACTIONAL DIFFUSIONS; FUNDAMENTAL SOLUTION; POTENTIAL PROBLEMS; CONTINUUM; FRACTALS; CALCULUS; MODEL;
D O I：
10.1016/j.camwa.2018.05.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a simple empirical formula of origin intensity factor in singular boundary method (SBM) solution of Hausdorff derivative Laplace equations. The SBM with the empirical formula is mathematically more simple and computationally more efficient than using the other techniques for origin intensity factor. Numerical experiments simulate the steady heat conduction through fractal media governed by the Hausdorff Laplace equation, and show the efficiency and reliability benefits of the present SBM empirical formula. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1075 / 1084
页数：10
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