Sentence examples for compound equation from inspiring English sources

For the alternative hypothesis H1, we form the following compound equation: ϕ 1 ϕ 2 = μ μ + F G 0 0 0 0 F G h 1 w 1 h 2 w 2 + ε 1 ε 2. (35).

We then estimate Δf G○ of the pseudoisomers by summing over the contributions of their groups (equation V) and calculate the Δf G′○ of compounds (equations III and IV).

By using the special truncated expansion method, Hassan [8] constructed solitary wave solutions for the compound KdVB equation and discussed the generalized two-dimensional KdVB equation.

The value-weighted matrix results from the assignment of a weight to each compound using equation 3 and the core-weighted matrix is obtained using equation 4. In this step, core probabilities using value-weighted matrices and value probabilities using core-weighted matrices are derived.

The exact solutions of a compound KdVB equation were obtained by using a homogeneous balance method in [7].

The element-free Galerkin (EFG) method for numerically solving the compound KdVB equation was discussed by Rong-Jun and Yu-Min in [12].

The generalized multi-symplectic formulation is introduced, and a twelve-point generalized multi-symplectic scheme, which satisfies two discrete modified conservation laws approximately as well as the local momentum conservation law accurately, is constructed to solve the first-order PDEs that derived from the compound KdV Burgers equation.

It is more remarkable that the scheme (36) can be used to capture the shock wave structure of the compound KdV Burgers equation within one data point, which can further illustrate the good structure-preserving property of the generalized multi-symplectic scheme (36).

18 Nevertheless, the study was conducted only in intensive care units and used a compound pharmacokinetic equation, which might be more suitable only for specific patient groups.

We used what we called extended Fan's sub-equation method and a new compound Riccati equations rational expansion method to construct the exact travelling wave solutions of the Davey-Stewartson (DS) equations.

In addition, we apply a new compound Riccati equations rational expansion method [12] to the Davey-Stewartson (DS) equations and construct new complexion solutions.