Sentence examples for between the approximate solution from inspiring English sources

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

Comparisons between the approximate solution for two modes are made with respect to both one mode and numerical solutions.

Assume that u is the solution of (4.1) and r n is the error between the approximate solution u n and the exact solution u.

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

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.

Our aim in this paper is to establish a few existence results of uncountably many nonoscillatory solutions for Eq. (1.6), to suggest Mann iterative approximations for these nonoscillatory solutions and to discuss the error estimates between the approximate solutions and the nonoscillatory solutions.

In this section, we give some error estimates between the approximate solutions and exact solutions.

The difference between the approximate solutions and the optimal ones is bounded by 0.5%, and it hardly increases with the increase of the problem size.

However, how to establish the error estimates between the approximate solutions and the exact solutions for partial differential equations is not reported in the literature.

Also, we make the figures to compare between the approximate solutions and the exact for nonlinear partial fractional differential equations when α, β → 1.