Sentence examples for between the regularization solution from inspiring English sources

The error estimate between the regularization solution and the exact solution is established.

For the regularization solution, the Hölder type stability estimate between the regularization solution and the exact solution is given.

Now we will give an error estimate between the regularization solution and the exact solution by the following theorem.

The main aim of this paper is to present a simple and effective regularization method, and investigate the error estimate between the regularization solution and the exact solution.

We prove the convergence estimates between the regularization solution and the exact solution under the prior and the posterior regularization parameter choice rulers.

In the following theorems, the convergence estimates between the regularization solution and the exact solution will be given based on an a priori choice of the regularization parameter.

The corresponding error estimate between the exact solution and the regularization solution is obtained.

Figures 3-4 show the comparisons of the numerical effects between the exact solution and the regularization solution for the a priori and a posteriori regularization parameter choice rule with Example 2. Figure 3 The comparison of numerical effects between the exact solution and its regularization solution for Example  2, (pmb{k=1}) : (a) (pmb{varepsilon =0.001}), (b) (pmb{varepsilon =0.005}).

Then we also estimate the error between an exact solution and the regularization solution with the logarithmic order and Hölder order.

Moreover, using the quasi-boundary value regularization method, we obtain the regularization solution and the Hölder type error estimate between the exact solution and the regularization solution.

We propose the Landweber iterative regularization method to solve this problem and obtain the regularization solution.