Measured specific rates of diffusion controlled reactions of solvated electron, e, with phenanthrene in 1-alkanols at 25掳C are analyzed for the Smoluchowski equation. The diffusion coefficients of es are calcu-lated from the Stokes-Einstein equation, where es is treated as a normal anion. ...
Two-dimensional reaction–diffusion equationConvergence analysisLaguerre polynomialIn the present article, an efficient operational matrix based on the famous Laguerre polynomials is applied for the numerical solution of two-dimensional non-linear time fractional order reaction鈥揹iffusion equation. An ...
E. Yee, Application of the decomposition method to the solution of the reaction-convection-diffusion equation, Appl. Math. Comput, 56 (1) (1993) 1-27. http://dx.doi.org/10.1016/0096-3003(93)90075-PY. Eugene, Application of the decomposition method to the solution of the reaction- ...
来源期刊 Nctam Papers National Congress of Theoretical & Applied Mechanics Japan 研究点推荐 Advection-Diffusion Equation Diffuse-Interface Model Two-Phase Flows 0关于我们 百度学术集成海量学术资源,融合人工智能、深度学习、大数据分析等技术,为科研工作者提供全面快捷的学术服务。在这里我们保持学习的态度,不忘...
of diffusivities has found widespread application for diffusion measurement with liquid mixtures (Gaffney and Chau2001; Rashidnia and Balasubramaniam2002; Sun and Pu2016). Transfer of this measuring principle to diffusion in zeolites, however, proved to be quite a long way, with first attempts in ...
This paper studies the bifurcation of periodic solution for a class of periodic evolu-tion equations, we give the sufficient conditions for the existence of a positive periodic solution. Finally, our results are applied to a periodic parabolic qeuation,i,e., a reac-tion-diffusion equation.被...
Unfortunately, all the above functions above cannot tackle the uphill diffusion phenomenon due to the “swell” in the composition profiles. Equation (18) has been used to describe thec-xprofile of uphill diffusion24, but obviously the values at the terminals of\({{c}}_{{U}}({x})\)canno...
Some examples of simulations that can be achieved under this approach include conservational laws [63], the diffusion equation [64], shallow water equations (SWEs) [65], and Maxwell’s equations [66]. Representative results from Nektar++ for these equations on the surface of a sphere are ...
1. Generally, epitaxy is dominated by two major processes: one is the adsorption of atoms to the surface, which is followed by their diffusion and incorporation into lattices; while the other is the reverse desorption process, namely breaking-away of atoms from lattices as well as their ...
The Wright–Fisher diffusion (Xt)t≥0 is the process on [0,1] describing the evolution of the frequency of one allele, with infinitesimal generator ℒf(x)=12x(1−x)f″(x) and domain D(ℒ)=C2([0,1]). The corresponding dual is the pure death process (Lt)t≥0 on N={0,1...