2018
DOI: 10.1016/j.camwa.2018.05.041
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A simple empirical formula of origin intensity factor in singular boundary method for two-dimensional Hausdorff derivative Laplace equations with Dirichlet boundary

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Cited by 32 publications
(3 citation statements)
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“…For the parameter identification problem, it is essential to first solve the direct problem. The SBM was proposed by Chen and collaborators [31][32][33][34][35] and can be viewed as an improvement in MFS [36,37] to solve some boundary value problems of partial differential equations. It can also be regarded as a modified method of BEM, as it inherited their advantages but possesses its unique innovation.…”
Section: Introductionmentioning
confidence: 99%
“…For the parameter identification problem, it is essential to first solve the direct problem. The SBM was proposed by Chen and collaborators [31][32][33][34][35] and can be viewed as an improvement in MFS [36,37] to solve some boundary value problems of partial differential equations. It can also be regarded as a modified method of BEM, as it inherited their advantages but possesses its unique innovation.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, a fractal derivative diffusion model was developed as a powerful tool to characterize anomalous diffusion in complex systems [14][15][16][17][18][19][20][21]. As shown in [15,16], the definition of fractal derivative was improved and employed to model water diffusion transport in unsaturated porous media.…”
Section: Introductionmentioning
confidence: 99%
“…Another effective method, finite element methods, is also widely used for the numerical solution, see [24,25]. Another popular method for the direct and inverse heat conduction problems is the singular boundary method, we can see [26][27][28][29][30] for further reading.…”
Section: Introductionmentioning
confidence: 99%