Sentence examples for between approximate solution and from inspiring English sources

Furthermore, an estimate for the error between approximate solution and accurate solution is given.

Figure 6 The comparison between approximate solutions and exact solution of Example  3 for some k and L. Figure 7 The exact solution and approximate solutions obtained by our method and NHPM for (pmb{alpha=1}).

As one can see that the conclusions are the same as for Example 1. Figure 4 The comparison between approximate solutions and exact solution of Example  2 for some k and L. In Table 2, we compare the numerical solutions resulting from the application of sine-cosine wavelet method ((k=4), (L=1)), with the HPM [23] and ultraspherical wavelets collocation method (UWCM) [27].

Meanwhile, an order optimal error estimate between the approximate solution and exact solution is proved.

Then, he got the moment estimate of solutions and the estimate for the error between the approximate solution and the accurate solution.

An order optimal error estimate between the approximate solution and the exact solution is obtained with a suitable choice of regularization parameter.

A Hölder-type error estimate between the approximate solution and the exact solution is provided by introducing some technical inequalities and choosing a suitable regularization parameter.

That is to say, the absolute error between the approximate solution and the accurate solution is the machine zero within 6 loops.

A quite sharp error estimate between the approximate solution and the exact ones is obtained by choosing a suitable regularization parameter.

Furthermore, she obtained the estimate for the error between the approximate solution and the accurate one to ISFDEs, which generalized Mao's conclusions [7].

In this work, we will use a wavelet method to deal with IHCP (1.1) ((r_{0}le r< r_{1})) with variable coefficient and to obtain a quite sharp error estimate between the approximate solution and the exact solution.