In this paper we apply the dynamical systems method (DSM) proposed by A. G. Ramm, and the variational regularization method (VRM), to obtain numerical solution to some singularly perturbed ill-posed problems contaminated by noise. The results obtained by these methods are compared to the exact solution for the model problems. It is found that the dynamical systems method is preferable because it is easier to apply, highly stable, robust, and it always converges to the solution even for large size models.
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机译：在本文中，我们应用了A. G. Ramm提出的动力学系统方法（DSM）和变分正则化方法（VRM），以获得一些被噪声污染的奇摄动不适定问题的数值解。将这些方法获得的结果与模型问题的精确解进行比较。发现动态系统方法是优选的，因为它易于应用，高度稳定，健壮，并且即使对于大型模型，也总是收敛于解决方案。
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