Afternonlinear improving, the nonlinear accuracy arrives at the kh ≈3.The Two-layermodel has accurate linear character when kh ≈8,and accurate nonlinear characterwhen kh≈6.The numerical method is the predictor-correct means of finite differenceprinciple, in the predictor phase ,using the third-order Adams-Bashforth explicitformat, in the correct phase ,using the fourth-order Adams-Moulton implicit format.In the same time ,adds up to the bottom friction and wave breaking in the momentumequation .
A mixed finite analytic method has been introduced and a set of algorithmic formula of six point implicit format has been deduced which can be used to simulate ore forming processes of post magmatic hydrothermal ore deposit.
In order to obatain an efficient algorithm for a class of two-dimensional nonlinear evolution equations to be solved on parallel machine, a blocking implicit format and parallel digital algorith are given for solution of this class of equations, resulting in such a method where its A~(12)-stability and the parallelism are considered all together. It is shown by a digitally computational illustration that this method possesses a better feasibility and effectiveness.
Darcy's law and continuty equation,a mathematical model was established and numerically solved by use of differential discrete method; the coefficient term and production term in the equation were explicitly dealt with; and the implicit format treatment and solution were adopted to acquire the parameters and the amount of mass exchange of matrix-cleat system.
Based on operating principle and structure of household ice machine,the mathematic physical model of freezing process is developed according to enthalpy method. Implicit format of finite difference method is utilized and numerical simulation is analyzed.
respectively. Theoretical analysis and numerical experimentshow that the conditions of stability of implicit schemes are much more relaxed than those of explicit schemes, namely, the time step T of implicit schemes can be selected from the computing accuracy required, and numerical experiment also show that implicit schems can be save much more
A new finite element implicit scheme is constructed by using the Hybrid Finite Difference Finite Element Method in . The implicit scheme overcomes the diffculty of solving large sparse matrix and demanding huge capacity in traditional finite element implicit schemes and at the same time, makes use of the approximate factorization and diagonalization techniques in finite difference method to acquire high calculation efficiency.
The use of an implicit scheme for approximating the equations makes it possible to carry out the calculations over the entire range of variation in the degree of nonequilibrium - from the frozen state to equilibrium.
A stable explicit-implicit scheme, suitable for a through computation of unsmooth solutions, is proposed.
The design of a total energy conserving semi-implicit scheme for the multiple-level baroclinic primitive equation has remained an unsolved problem for a long time.
In this work, however, we follow an energy perfect conserving semi-implicit scheme of a European Centre for Medium-Range Weather Forecasts (ECMWF) type sigma-coordinate primitive equation which has recently successfully formulated.
Multiresolution technique and explicit-implicit scheme for multicomponent flows
This algorithm allows one to generate multilayer implicit schemes for solution of the time-dependent Schr?dinger equation.
The numerical algorithm for solving the problem is based on the use of implicit schemes owing to the splitting with respect to the physical processes and space coordinates.
The accuracy of solution according to explicit and implicit schemes is considered, and the applicability conditions are determined.
Here the treatment is extended to cover also implicit schemes, and by placing the accuracy of the schemes into a more central position in the discussion general 'method-free' statements are again obtained.
When implicit schemes are used the moving interface along with the convective or radiative boundary condition pose a problem because of the requirement to calculate the interface location and boundary temperature implicitly.