Sentence examples for by the implicit finite from inspiring English sources
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.
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 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.
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.
A detailed simulation of the ignition process and premixed flames propagation, taking into account molecular transport, chemical reaction, thermodynamics and convection, is built by making use of the implicit finite difference scheme with the help of the Tridiagonal Matrix Algorithm.
The selected technique was the implicit finite difference method [10].
They solved the governing nonlinear equations using the implicit finite difference method.
The implicit finite difference formulas are derived from the governing equations, and programmed in MATLAB.
A system of equations representing the model was simultaneously solved using the implicit finite difference method.
