Despite the availability of an abundant literature on singularly perturbed problems, interest toward non-linear problems has been limited. In particular, parameter-uniform methods for semilinear are quasi-non-existent. this article, we study a two-dimensional convection-diffusion problems. Our approach requires linearization continuous problem using quasilinearization technique. We then discret...

In this article, an efficient methodology is presented to optimize the topology of structural systems under transient loads. Equivalent static loads concept is used to deal with transient loads and to solve an alternate quasi-static optimization problem. The maximum strain energy of the structure under the transient load during the loading interval is used as objective function. The objective f...

Diesel engine is a complex nonlinear system. In view of the uncertainty model in process linearization diesel and insufficient robustness existing PID controller, robust control theory applied to speed engine. Firstly, quasi-steady state locally linearized establish its space model. Then, by analyzing stability under friction torque uncertainty, H∞ controller established, law finally obtained s...

We propose a new iterative scheme to compute the numerical solution an over-determined boundary value problem for general quasilinear elliptic PDE. The main idea is repeatedly solve its linearization by using quasi-reversibility method with suitable Carleman weight function. presence of function allows us employ estimate prove convergence sequence generated above desired solution. iteration fas...

Recent works have shown that quantum period-finding can be used to break many popular constructions (some block ciphers such as Even-Mansour, multiple MACs and AEs...) in the superposition query model. So far, all broken exhibited a strong algebraic structure, which enables craft periodic function of single input block. Recovering secret period allows recover key, distinguish, confidentiality o...