This paper is concerned with the development of a new approach for the numerical
solution of linear and nonlinear reaction-diffusion equations in two spatial
dimensions with Bitsadze-Samarskii type nonlocal boundary conditions. Proper
finite-difference approximations are utilized to discretize the time variable.
Then, the weak equations of resultant elliptic type PDEs are constructed on
local subd... hiện toàn bộ
A new mathematical model is proposed for temperature recombination of atomic
nitrogen on the (111) face of the iridium single crystal and on iridium foil,
allowing for geometrical nonhomogeneity of the catalyst surface. The model
describes the main qualitative features of laboratory experiments: the effect of
the catalyst surface structure and the adsorbed oxygen on nitrogen thermal
desorption spe... hiện toàn bộ
We show that the extremum of the local variational problem with a singular
nonlinear integrand found by the optimal path continuation procedure is in fact
a local extremum. Conditions simplifying the search for a global extremum are
identified.