Sentence examples similar to finite difference explicit implicit from inspiring English sources

The solution constructed in this work presents good agreement compared to a commercial numerical reservoir simulator based on finite difference schemes (implicit in pressure and explicit in saturation) and to the simpler case of a finite slug with constant concentration.

Compact finite difference and diagonally implicit Runge-Kutta-Nyström (DIRKN) methods were used [3].

We use three fully implicit finite difference schemes, two fully explicit finite difference techniques, an alternating direction implicit procedure and the Barakat and Clark type explicit formula.

It uses finite difference methods and structures explicit or implicit or other process forms to solve the water quality model.

Among these numerical techniques, finite difference methods, including both explicit and implicit schemes, are mostly used for one-dimensional domains, such as longitudinal stream systems [11, 12].

Several implicit and explicit finite difference approximations of both the shallow water and Green Naghdi models are presented, but for Green Naghdi these are obtained using automatic code generation software.

Two finite difference schemes namely an explicit predictor corrector and totally implicit schemes have been developed.

We show that our method speeds up the computations by orders of magnitude relative to the conventional explicit finite difference scheme, while the costs of the pointwise implicit solution per timestep remains low.

The system is then numerically solved by a finite difference method using the IMPEC (IMplicit Pressure and Explicit Concentration) scheme.

The package implements explicit and implicit finite difference solvers.

One of the most important family of implicit and explicit iterative finite difference methods for the approximation of solutions of ordinary differential equations is the method of implicit Runge-Kutta of fourth order.