Simulated/calculated different diffusion properties for the case with idealDs.(a)Solid lines, 6 types of idealD-crelations; dashed lines, the calculatedD-cfunction obtained by applying the B-M analysis to the corresponding CDF in (b).(b)c-xprofiles of the idealDs, corresponding to the prof...
The application of the finite Fourier transformation to the solution of the neutron diffusion equation in one dimension, two dimensional x-y and triangular geometries is discussed. It can be shown that the equation obtained by the Nodal Green's function method in Cartesian coordinates can be ...
摘要: This article makes some preliminary explorations about the application of the equation from two aspects. First,make use of the formula to prove some integral calculus equation. Second,use the formula to prove some trigonometric function integral calculus whose solutions are difficult to get....
摘要: For the sake of simplicity we consider the two-dimensional diffusion equation $$\frac{{\partial v}}{{dt}} = k\left( {\frac{{{\partial }^{2}}v}}{{\partial {{x}^{2}}} + \frac{{{\partial...DOI: 10.1007/978-94-011-3030-1_38 被引量: 456 年份:...
We present the analytical constant-flux solution to Burgers' equation. Burgers' equation is a minimally nonlinear Fokker-Planck diffusion equation, applicable to infiltration into soils with a constant diffusivity and quadratic conductivity-water content relationship. Field Bungendore fine sand has a near...
When elements of [ r ] were substituted into the error function solution of the diffusion equation, it was found that the predicted concentration profiles were accurate to within ±0.1 at. pct of measured values. Also, it was found that Mo tends to reduce the diffusion kinetics of Cr and ...
Uncertain differential equation (UDE) has been widely applied in the financial market, and many optionpricingformulas are derived based on UDE. But the existing literature don’t consider the parameter estimation of UDE, and the parameters are just assumed as some given constants. This paper will...
(1996) Derivation and application of an analytical solution of the mass transfer equation to the case of forced convective flow around a cylindrical and a... J R.,Han,and,... - 《Journal of Aerosol Science》 被引量: 5发表: 1996年 A Solution of the Convective-Diffusion Equation for Solut...
Equation (10) has several biological consequences. First, the overall Hill coefficienthis negatively proportional to the product of individual cooperativitiesnX, nY. This makes the cascade activating for either two activators or two repressors, and repressive otherwise. It also makes the cascade mo...
Anomalous diffusion: Fractional Fokker–Planck equation and its solutions We analyze a linear fractional Fokker–Planck equation for the case of an external forceF(x)∝x|x|α−1and diffusion coefficientD(x)∝|x|−θ(α,θ∈R)... EK Lenzi,RS Mendes,KS Fa,... - 《Journal of Mathemati...