Sentence examples for by various numerical methods from inspiring English sources

This ordinary differential equation system can easily be solved by various numerical methods.

Many researchers have investigated the natural convection heat transfer of nanofluid by various numerical methods.

This article presents closed-form analytic solutions to three illustrative problems in biochemical kinetics that have usually been considered solvable only by various numerical methods.

Therefore, as soon as the PLDOS at the location r0m along the direction d ^ m is calculated by various numerical methods, ω c, κ, and ρ cpm can be determined by fitting the PLDOS by the Lorentz function of Equation 5.

Equation (2), together with boundary conditions (3), (4) and (5), can be solved by various numerical methods.

Further, various numerical methods adopted by the researchers is reviewed in particular, on the hydroelastic analysis of VLFS, dynamic, static and structural response of the system is discussed.

In recent years, various numerical methods were used by the researchers to solve GBHE and GBFE.

So, there are various numerical methods which have been studied by many researchers; e.g., see [4].

It can be explained with the fact that automotive tires have nonlinear characteristics of friction and slip, which cannot be measured by on-board sensors and require therefore real-time estimation with the help of various numerical methods.

We then compare the quality of various numerical methods.

Consequently, various numerical methods have appeared to approximate reasonably the analytical solutions.