Sentence examples for method for equation from inspiring English sources

The next result is the monotone method for equation (11) using coupled lower and upper solutions.

In this subsection, we will present the semi-discrete LDG method for equation (1.1).

In this section, we will perform the Lie group method for Equation (1).

Figure 3 depicts the mean-square error behavior of the IM method for equation (5.1) with the parameter II.

The proposed method is applied to some special examples in order to illustrate the applicability and accuracy of the proposed method for equation (1.1).

This method for equation (1) and its special case (4) basically depends upon the nonincreasing properties in the spatial variant of solutions, which is trivial with (mu_{1}=mu_{2}), while it may be invalid if (mu_{1}

An area-preserving implementation of the 2nd order Runge Kutta integration method for equations of motion is presented.

The course examines the application of numerical models and gives an introduction to multiphase flow systems and advanced methods for equation development.

Definition 3.1 We call the iteration formula (11) the exponential θ-method for Equation (1), where θ ∈ [ 0, 1 ], h = τ / m, m ∈ N = { 1, 2, … }, x n + 1 and x n + 1 − m are approximations to x ( t ) and x ( t − τ ) of Equation (1) at t n + 1, respectively.

Numerical oscillation of θ-methods and Runge-Kutta methods for equation (x'(t)+ax t)+a_{1}x([t-1])=0) was investigated in [20, 21], respectively.

This lack of smoothness of the solution near (t=0) results in a decay in the order of the practical performance of familiar timestepping methods for equation (1).