In this paper, I present a flow grammar, a grammatical specification of all possible patterns of solution curves one may see in the phase space.
Analysis patterns consist of solutions already tested that can resolve families of recurrent problems.
The major task of qualitative analysis of systems of ordinary differential equations is to recognize the global pattern of solution curves in the phase space.
The crystallites size (D) has been calculated using line broadening of most intense (311) peak using Scherrer's equation [30] as given in Eq. (1) D =,frac{0.89 times,lambda }{beta,cos theta } (1) Open image in new window Fig. 1 XRD pattern of solution combustion derived copper ferrite.
On the other hand, when (u=0), system (1.3) and (1.4) reduces to the classical Keller-Segel chemotaxis model [2 4], which received many studies [5 11] on well-posedness and pattern formation of solutions.
b X-ray diffraction patterns of a solution-processed MAPbI3 film (blue) and vapor deposited one (red).
FTIR patterns of the solution DMF, the pristine MoS2 powder, and the MoS2 nanosheets sonicated in DMF for 10 h.
A grid convergence study for the Henry problem was also carried out to determine the grid size with negligible numerical dispersion, while a similar study was carried out with the Elder problem in order to compare the patterns of the solution with those of other authors.
Although a finer grid could give a more accurate solution, the overall pattern of the solutions is insensitive to the chosen grid size, as confirmed by simulations using a finer grid with a half grid size.
