Sentence examples for approximation the solution from inspiring English sources

The collocation technique based on Bernstein polynomials is used for approximation the solution of various cases of CSFIEs.

On that basis, the authors propose a novel design based on a successive approximation (the solution does not admit an analytical expression) of the LMMSE distortion, which turns out to be computationally efficient and exhibits excellent convergence properties.

We also prove the convergence of some new -step iterative sequences with or without mixed errors to approximation the solution for this system of generalized nonlinear mixed quasivariational inclusions.

In the two first orders of the WKB approximation, the solution of (33) satisfying the above boundary conditions has the form (34 where Ω SN = πN/t s, (35)is the travel time along a field line between the magnetocon-jugate ionospheres at SMS wave speed.

After differential approximation, the solution of Equation (4) is approached as: (5) where u is the probability density as and D is a constant as.

We algebraically rank the error of the Chebyshev Polynomial approximation, Taylor's Series approximation and the Gauss-Lanczos approximation to the solution of the SAR model and its variants.

BGM is a highly accurate method not only for the approximation of the solution, but also for the approximation of its derivatives around singular points.

In Figure 6, we give the comparison among the numerical solution of system (1.3) (left), the weakly nonlinear first order approximation of the solution (medium) and the weakly nonlinear fifth order approximation of the solution (right) under subcritical case.

The leading order approximation is the solution of Nusselt (or Schumann) problem.

Such time approximation requires the solution of 3D elliptic equations at each time step.

An approximation for the solution is retrieved by applying an adequate summation method to the power series.