Sentence examples for using an iteration method from inspiring English sources

Combining the supplemental equation built by the numerical results, the frost heaving model is also addressed using an iteration method.

The elastic stress field in the simultaneous presence of interfacial dislocations, substrate constraint, and compositional strains is obtained by solving the mechanical equilibrium equations using an iteration method.

In this section, we will prove the continuous dependence of the solution u = u ( x, t ) using an iteration method.

In this section, we shall prove the continuous dependence of the solution u = u ( x, t, ε ) using an iteration method.

We furthered our investigation by solving the model numerically using an iteration method.

We first use an iteration method to establish the estimates of lower bounds of positive mild solutions, then we obtain the unboundedness of solutions for large time.

For the extraction of the complex refractive index, we used an iteration method based on the transfer matrix theory where the effects of multiple reflections at the interfaces between the slide, cartilage, and LDPE film are taken into account [ 19]. Figure 4 shows the refractive index images and absorption coefficient images of cartilage tissue at 0.4 and 0.8 THz.

We made use of an iteration method to solve the extended model.

Now let us consider an iteration method used in [24], for, which is defined by.

We prove that recent results of Wang (2007) concerning the iterative approximation of fixed points of nonexpansive mappings using a hybrid iteration method in Hilbert spaces can be extended to arbitrary Banach spaces without the strong monotonicity assumption imposed on the hybrid operator.

Whether an iteration method used in any investigation converges to a fixed point of a contractive type mapping corresponding to a particular iteration process is of utmost importance.