Sentence examples for and efficiency of the proposed methods from inspiring English sources

Different numerical examples and efficient comparison are performed to confirm the accuracy and efficiency of the proposed methods.

Through some numerical experiments, we evaluate the accuracy and efficiency of the proposed methods.

Numerical results are also provided to show the accuracy and efficiency of the proposed methods.

The numerical results verify the accuracy and efficiency of the proposed methods.

Numerical simulations are presented to demonstrate the accuracy and efficiency of the proposed methods.

We present numerical experiments to show the accuracy and efficiency of the proposed methods.

They demonstrate the robustness and efficiency of the proposed method.

The numerical results obtained support the validity and efficiency of the proposed method.

Numerical examples are provided which confirm the reliability and efficiency of the proposed method.

The reliability and efficiency of the proposed method are demonstrated on the numerical experiments.

Illustrative examples have shown the validity, applicability, and efficiency of the proposed method.