Sentence examples for solution profile from inspiring English sources

Numerical results show that the resulting schemes capture steady shock exactly and produce non-oscillatory solution profile with high resolution.

It characterizes the vertical solution profile and serves as a well-defined and experimentally accessible criterion for the regimes of quantitative validity of our analysis.

The numerical results show that the developed non-polynomial ENO and WENO methods with the monotone polynomial interpolation method enhance the local accuracy and give sharper solution profile than the ENO/WENO methods based on the polynomial interpolation.

For the model we consider here, the problem of the computation of the self-similar solution profile reduces to a nonlinear, second-order ordinary differential equation on an unbounded domain, which is given in implicit form.

Open image in new window Figure 5 Solution profile u ( x, t ) at different t.

The following is a useful description of the solution profile for the extremals on (mathbb {R}^n_+).

Numerical experiments show clean monotonic solution profiles, with acceptably small conservation error for shocks of weak to moderate strengths.

The resulting solution profiles demonstrate the multidimensional nature of the plasma and illustrate the effects of confining insulating sidewalls and electrode-insulator interfaces.

Some of the diagrams contain isolated high-temperature branches and solution profiles on these branches show a local maximum in the surface temperature.

The test problems demonstrate second-order convergence of the algorithm on smooth solution profiles, and the robust treatment of discontinuous initial data in an IFE-relevant vessel geometry.

Numerical examples demonstrate the reliability of the error estimation and show that the method can solve large problems with bimodal solution profiles.