Film–pore diffusion models—analytical and numerical solutions
نویسندگان
چکیده
منابع مشابه
Numerical solutions for fractional reaction-diffusion equations
Fractional diffusion equations are useful for applications where a cloud of particles spreads faster than the classical equation predicts. In a fractional diffusion equation, the second derivative in the spatial variable is replaced by a fractional derivative of order less than two. The resulting solutions spread faster than the classical solutions and may exhibit asymmetry, depending on the fr...
متن کاملSolutions of diffusion equation for point defects
An analytical solution of the equation describing diffusion of intrinsic point defects in semiconductor crystals has been obtained for a one-dimensional finite-length domain with the Robin-type boundary conditions. The distributions of point defects for different migration lengths of defects have been calculated. The exact analytical solution was used to verify the approximate numerical solutio...
متن کاملContributions to the Analysis of Biochemical Reaction-Diffusion Networks Stability, Analysis, and Numerical Solutions
A Appendix 81 Bibliography 93 Summary In this thesis we address dynamic systems problems that arise from the study of biochemical networks. Here we prefer a rigorous treatment of the differential equations that govern their spatio-temporal dynamics, at the cost of studying simplified scenarios of the biological systems under study. Although these simplified scenarios do not model all aspects of...
متن کاملNew Exact and Numerical Solutions of the (Convection-)Diffusion Kernels on SE(3)
We consider hypo-elliptic diffusion and convection-diffusion on R o S, the quotient of the Lie group of rigid body motions SE(3) in which group elements are equivalent if they are equal up to a rotation around the reference axis. We show that we can derive expressions for the convolution kernels in terms of eigenfunctions of the PDE, by extending the approach for the SE(2) case. This goes via a...
متن کاملAsymptotic and numerical solutions for diffusion models for compounded risk reserves with dividend payments
We study a family of diffusion models for compounded risk reserves, which account for the investment income earned and for the inflation experienced on claim amounts. We are interested in the models which the dividend payments are paid from the risk reserves. After defining the process of conditional probability over finite time, the classical diffusion processes results turn the nonlinear stoc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Chemical Engineering Science
سال: 2004
ISSN: 0009-2509
DOI: 10.1016/j.ces.2003.10.012