This work aims at a new semi-analytical method called the variational iteration transform method for investigating fractional-order Emden-Fowler equations. The Shehu transformation and the iterative method are applied to achieve the solution of the given problems. The proposed method has the edge over...
言归正传 这一系列主要会围绕Numerical Method(数学方法?) 以及简单的应用。 上一篇讲了Factorization(整数分解) 的算法, 今天来谈谈求根公式的算法实现。 其实不难看出,很多算法实现起来并不难,我觉得更重要的是: 1:理解某个算法的提出,这样可以启发自己 2:学会Error Analysis( 误差分析?) 加粗代表很重要。很多情...
For a given nonlinear differential equation of the form (6.2)Ly(t)+Ny(t)=g(t), where L is the linear operator, N is a nonlinear operator, and g is a known differential function, in terms of the variational iteration method, a correction functional is constructed (6.3)yn+1(t)=yn(t...
Glabisz, W, Jarczewska, K, Zielichowski-Haber, W (2013) Variational iterational method in stability analysis of beams under nonconservative forces. Arch Civ Mech Eng 13: pp. 82-87Glabisz W., Jarczewska K., Zielichowski-Haber W.: Variational iterational method in stability analysis of...
Vector dt consists of negative elements of the differences between x and zt−1 in the tth iteration step. The fitted value zt−1 in the previous (t−1)th iteration is a candidate of baseline. If the value of the ith point is greater than the candidate of baseline, it can be rega...
In this paper, the author proposes a new perturbation technique coupling with iteration method, yielding a powerful mathematical tool for an analytical solution of nonlinear equations. The obtained results are valid not only for weakly nonlinear problems but also for strongly nonlinear ones. Furthermore...
Then, we prove the error estimation of the method. In addition, we show the numerical stability analysis of the method with respect to the choice of the first iteration. Finally, supporting examples are also provided.Similar content being viewed by others Iterative Method for Numerical Solution ...
•Delta adjustment: Sensitivity analysis assuming that subjects who discontinue would, on average, have their unobserved efficacy outcome worse by the amount Delta compared to the observed efficacy outcome of subjects who remain in the study. ...
Therefore, the selection of iteration times is very important in the task. In the experiment, with Ft1 as the feature, the relationship between prediction accuracy and iteration times is shown in Figure 5. It can be seen from the figure that when the number of iterations is less than 60, ...
In this article a new method for computing a few smallest (largest) eigenvalues of, symmetric positive definite problem, AX = λBX is presented. This is a kind of an inner–outer iteration method. The implementation of the algorithm has been tested by numerical examples, the results show that...