论文标题
分数假牛顿法及其在允许构建混合太阳接收器的非线性系统的解决方案中的使用
Fractional pseudo-Newton method and its use in the solution of a nonlinear system that allows the construction of a hybrid solar receiver
论文作者
论文摘要
以下文档为非线性系统提供了可能的解决方案和简短的稳定性分析，这是通过研究建造混合太阳接收机的可能性而获得的；有必要提到，由于系统显然是不稳定的，因此上述系统的解决方案相对难以通过迭代方法获得。为了找到这种可能的解决方案，使用了一种新的数值方法，适用于一个和几个变量，该方法使用分数衍生物，使我们可以使用实际初始条件在复杂空间中找到某些非线性系统的解决方案，此方法对于线性系统也有效。上述方法具有收敛顺序（至少）线性，但是易于实现，并且不必将某些矩阵倒置以求解非线性系统和线性系统。
The following document presents a possible solution and a brief stability analysis for a nonlinear system, which is obtained by studying the possibility of building a hybrid solar receiver; It is necessary to mention that the solution of the aforementioned system is relatively difficult to obtain through iterative methods since the system is apparently unstable. To find this possible solution is used a novel numerical method valid for one and several variables, which using the fractional derivative, allows us to find solutions for some nonlinear systems in the complex space using real initial conditions, this method is also valid for linear systems. The method described above has an order of convergence (at least) linear, but it is easy to implement and it is not necessary to invert some matrix for solving nonlinear systems and linear systems.
