Examines a solution of the diffusion equation with non-zero boundary condition, which may provide a more realistic description of the transfer process. Treatment of the processes of diffusion and heat conduction; Conclusion that the proposed solution has basic properties expected in the case of ...
研究具退化性的一类非线性扩散方程的初边值问题。 www.ceps.com.tw 10. Asymptoticsolutionofthereaction-diffusionequationofcellreproduceisgiven,itsuniformlyvalidisdiscussed. 给出了细胞繁殖反应扩散型方程的渐近解,并讨论了其一致有效性。 www.dictall.com 1 2 3 4 5...
It must be noted that we will solve the diffusion equation without any external source. This is very important because such an equation is alinear homogeneous equationin the flux. Therefore if we find one solution of the equation, then any multiple is also a solution. This means that theabso...
PROBLEM TO BE SOLVED: To obtain equation solution on diffusion which can be executed in a short calculation time as a whole and easily develops a program by reconsidering (v), etc., in the next point from quantity (v) depending on the time and space in a prescribed point to repeat it ...
To obtain a unique solution of the diffusion equation, or equivalently, to apply numerical methods, we need initial and boundary conditions. The diffusion equation goes with one initial condition u(x,0)=I(x), where I is a prescribed function. One boundary condition is required at each point...
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Based on the concept of ELM, the formulation of ELBEM and its associated fundamental solution has been obtained for an advection–diffusion equation. The ELBEM is capable of handling the variable velocity field. The ELBEM performed well for both the advection- and diffusion-dominated flow fields...
The article lists available mathematical models and associated computer programs for solution of the one-dimensional convective-dispersive solute transport equation. The governing transport equations presented include terms accounting fo... MTV Genuchten,WJ Alves 被引量: 853发表: 1982年 Three‐Dimensional ...
This paper concerns the initial-boundary value problem of the following convection diffusion equation: u_t=div(|▽_u~m|~(p-2)▽_u~m)+sum from i=1 to N((?)b_i(u~m))/((?)x_i). If p1 +1/m,by considering the solution u_k to the regularized problem and using the Moser iter...
14.13.5 The Field Diffusion Equation and Its Solution Taking the space derivative of (14.102), and eliminating dEy/dx via (14.99), (14.103)d2Bzdx2=4πkmσdBzdt=μ0σdBzdt. This equation, when solved, leads to (14.95) for the skin depth. It is called a diffusion equation. (Fourier wa...