Sentence examples for profile of the solution from inspiring English sources

The following theorem will give a detailed description about the profile of the solution u ( x, t ).

A profile of the solution (2.21a) and (2.21b) is given in Figure 1. Figure 1 Profile of solitary waves ( 2.21a ) and ( 2.21b ).

In this paper, we adapt the SuperMatrix runtime task scheduler for dense linear algebra algorithms to the many-threaded Intel Xeon Phi, with special emphasis on the performance and energy profile of the solution.

As can be seen from the figure, after subjecting the dye to SBP treatment (and resulting in 20% dye degradation), the HPLC profile of the solution showed additional peaks (presumably metabolites) eluting at different retention times.

We study how the solvent evaporation rate, the bulk reaction rate, the dynamic viscosity, the angle of the inclined substrate, the characteristic depth of the solution thickness, the initial profile of the solution thickness, and the length of substrate affect the coating thickness.

Τhe transient profiles of the solution temperature and solute concentration were calculated numerically, solving a system of coupled partial differential equations, taking into consideration the mass and heat transfer and the crystallization kinetics.

The asymptotic profile of the solutions of the Dirichlet problem is also studied.

In both they employ the penalization technique together with a careful analysis of the profile of the solutions.

One needs to know more about the profile of the solutions for the linear and nonlinear equations involving the operator (L_gamma ) on (mathbb {R}^n_+).

b Comparison temperature profile of the solutions via CM, HPM, and numerical solution for A = 1, M = 1, S = 1, Le = 1, Nb = 1, Nt = 0.1, Pr = 6.2.

c Comparison concentration profile of the solutions via CM, HPM, and numerical solution for A = 1, M = 1, S = 1, Le = 1, Nb = 1, Nt = 0.1, Pr = 6.2.