Sentence examples for method the solutions from inspiring English sources

Using this method the solutions are obtained in closed form or reduced to a numerical treatment of ordinary integrals, or an ordinary differential equation, or transcendental equations.

To illustrate the accuracy of the present method, the solutions obtained in this paper are compared with those of Runge Kutta method, which shows the method proposed in this paper is effective and feasible.

To demonstrate the specificity of the developed UPLC method the solutions of CIP, MOX, NOR, OFL after photodegradation were analyzed.

Based on the local fractional variational iteration method, the solutions of the damped and dissipative wave equations were presented.

By the recursive method, the solutions ( x n, y n ) ∈ D 1 of system (1.1) satisfy the conditions of theorem and 0 < x n < x n + 1 < x ∗, 0 < y n < y n + 1 < y ∗ ( n = 1, 2, … ).

In order to test the accuracy and efficiency of our method, the solutions of the examples presented are introduced in the form of tables to make a comparison with those obtained by other methods and with the exact solutions easy.

Using this method, the solution order can be adapted according to the local conditions at each time step, enabling adaptive error control without changing the integration timestep.

Using this method the solution over different subdomains with different multigrid levels is efficiently computed.

In this method, the solution composes into two parts, i.e., the general solution and the particular solution.

Through a hybrid optimization search method, the solution is obtained and the sensitivities of geographical location and seasons are discussed.

In this method, the solution is comprised of three parts: wavelet analysis, model identification and system prediction.