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作者:Mohammad F. Al-Jamal
来源:[J].Acta Applicandae Mathematicae(IF 0.985), 2017, Vol.149 (1), pp.87-99
摘要:We consider the inverse problem of reconstructing the initial condition of a one-dimensional time-fractional diffusion equation from measurements collected at a single interior location over a finite time-interval. The method relies on the eigenfunction expansion of the forward s...
作者:Fan Yang , Yu-Peng Ren , Xiao-Xiao Li ...
来源:[J].Boundary Value Problems(IF 0.922), 2017, Vol.2017 (1)
摘要:This paper is devoted to identifying an unknown source for a time-fractional diffusion equation with variable coefficients in a general bounded domain. This is an ill-posed problem. Firstly, we obtain a regularization solution by the Landweber iterative regularization method. The...
作者:Mahmoud A. Zaky , J. Tenreiro Machado
来源:[J].Computers and Mathematics with Applications(IF 2.069), 2020, Vol.79 (2), pp.476-488
摘要:Abstract(#br)The distributed-order fractional diffusion equation is a generalization of the standard fractional diffusion equation that can model processes lacking power-law scaling over the whole time-domain. An important application of distributed-order diffusions is to model u...
作者:Xichang Wang
来源:[J].Optik(IF 0.524), 2019, Vol.180, pp.144-150
摘要:Abstract(#br)In biomedical optics, the diffusion model of biological tissue plays an important role. In the biological tissue of any multi-layer rectangular non-matching slab medium, under the rectangular boundary condition, based on the diffusion equation of light propagation in...
作者:J. Boffie , J.M. Pounders
来源:[J].Annals of Nuclear Energy(IF 0.8), 2018, Vol.116, pp.280-289
摘要:Abstract(#br)The stability and accuracy of an adaptive time step control scheme are analyzed for the transient diffusion equation. This scheme is based on the commonly-implemented backward difference discretization of the diffusion equation and recommends optimal time steps based...
作者:Yun-Chi Huang , Siu-Long Lei
来源:[J].Numerical Algorithms(IF 1.128), 2017, Vol.76 (3), pp.605-616
摘要:... Moreover, the method is employed for solving the linear system that arises from compact finite difference scheme for time-space fractional diffusion equations with significant speedup. Numerical examples are given to show the efficiency of the proposed method.
作者:Leilei Wei
来源:[J].Numerical Algorithms(IF 1.128), 2017, Vol.76 (3), pp.695-707
摘要:In this paper, a fully discrete local discontinuous Galerkin method for a class of multi-term time fractional diffusion equations is proposed and analyzed. Using local discontinuous Galerkin method in spatial direction and classical L 1 approximation in temporal direction, a ful...
作者:Bing Zhang , Yangjun Ge , Lei Zu ...
来源:[J].Composite Structures(IF 2.231), 2019, Vol.215, pp.226-237
摘要:Abstract(#br)In this paper a dynamic mesh method based on diffusion equation and nodal rotation is developed for high-aspect-ratio composite wings. Mesh displacement is described by diffusion equation and calculated by finite element method. The mesh was distorted because the dis...
作者:R. Vázquez-Rodríguez , G. Espinosa-Paredes , J.B. Morales-Sandoval ...
来源:[J].Progress in Nuclear Energy(IF 0.704), 2008, Vol.51 (3), pp.474-484
摘要:Abstract(#br)This paper presents a general theoretical analysis of the neutron motion problem in a nuclear reactor, where large variations on neutron cross-sections normally preclude the use of the classical neutron diffusion equation. A volume-averaged neutron diffusion equation...

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