Sentence examples for by the implicit difference from inspiring English sources

The solution of pressure equation is obtained by the implicit difference equation.

For constant-order time fractional diffusion equations, the implicit difference approximation scheme was proposed in [23].

The comparisons with CBSCM and the implicit difference scheme manifest its practicability and advantages.

For approximation of problem (1.2), we use the implicit difference scheme (3.2).

As in [41], the heat flux at the boundary point (x=0) approximated by the forward difference is of particular interest, and the computed results are compared with the ones obtained by the implicit finite difference method in the literature.

The fractional diffusion equation is discretized by the implicit finite difference scheme with the shifted Grünwald formula.

In addition, the Maxwell equations are solved by the implicit Finite Difference Time Domain (FDTD) method (e.g., Hoshino, 1986) on the Yee grid system (Yee, 1966), which is free from the Courant condition for electromagnetic light mode waves.

The governing equations are transformed into dimensionless non-similar equations using a set of suitable transformations and solved numerically by the implicit finite difference method known as the Keller box scheme.

It is important to point out that the quadrature formula (3.3) does not provide the values of the time fractional derivative at r = 0 which are not required by the implicit finite difference and the Crank-Nicholson method schemes that follow.

end{cases}displaystyle end{aligned} Then the following implicit difference scheme for the spatial fractional CNLS Eqs.

The governing boundary layer equation of tangent hyperbolic fluid is converted into an ordinary differential equation using similarity transformations, which is then solved numerically by applying the implicit finite difference Keller box method.