Observation and prediction for one-dimensional diffusion equations
نویسندگان
چکیده
منابع مشابه
A Deterministic Particle Method for One-Dimensional Reaction-Diffusion Equations
We derive a deterministic particle method for the solution of nonlinear reactiondiffusion equations in one spatial dimension. This deterministic method is an analog of a Monte Carlo method for the solution of these problems that has been previously investigated by the author. The deterministic method leads to the consideration of a system of ordinary differential equations for the positions of ...
متن کاملGeneralized Fronts for One-dimensional Reaction-diffusion Equations
For a class of one-dimensional reaction-diffusion equations, we establish the existence of generalized fronts, as recently defined by Berestycki and Hamel. We also prove uniform nondegeneracy estimates, such as a lower bound on the time derivative on some level sets, as well as a lower bound on the spatial derivative.
متن کاملSpreading speeds for one-dimensional monostable reaction-diffusion equations
We establish in this article spreading properties for the solutions of equations of the type ∂tu − a(x)∂xxu − q(x)∂xu = f(x, u), where a, q, f are only assumed to be uniformly continuous and bounded in x, the nonlinearity f is of monostable KPP type between two steady states 0 and 1 and the initial datum is compactly supported. Using homogenization techniques, we construct two speeds w ≤ w such...
متن کاملLagrangian Numerical Approximations to One-Dimensional Convolution-Diffusion Equations
This work focuses on the numerical analysis of 1D nonlinear diffusion equations involving a convolution product. First, homogeneous friction equations are considered. Algorithms follow recent ideas on mass transportation methods and lead to simple schemes which can be proved to be stable, to decrease entropy and to converge toward the unique solution of the continuous problem. In particular, fo...
متن کاملSpace-time radial basis function collocation method for one-dimensional advection-diffusion problem
The parabolic partial differential equation arises in many application of technologies. In this paper, we propose an approximate method for solution of the heat and advection-diffusion equations using Laguerre-Gaussians radial basis functions (LG-RBFs). The results of numerical experiments are compared with the other radial basis functions and the results of other schemes to confirm the validit...
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: Journal of Mathematical Analysis and Applications
سال: 1975
ISSN: 0022-247X
DOI: 10.1016/0022-247x(75)90149-3