In this article, we analyze the stability and the associated bifurcations of several types of pulse solutions in a singularly perturbed three-component reaction–diffusion equation that has its origin as a model for gas discharge dynamics. Due to the richness and complexity of the dynamics generated by this model, it has in recent years become a paradigm model for the study of pulse interactions...

background: to manage relapsing‑remitting multiple sclerosis (ms) in the course of acute exacerbations, methylprednisolone (mp) (medrol or solu‑medrol), has the ability to lock the injured blood‑brain barrier and decrease irritation in the central nervous system. the aim of this preliminary study was to investigate the frequency and time interval related to mp pulse therapy in patients with ms....

We implemented the refined Deutsch-Jozsa algorithm on a three-bit nuclear magnetic resonance quantum computer. All of the balanced and constant functions were realized exactly. The results agree well with theoretical predictions and clearly distinguish the balanced functions from constant functions. Efficient refocusing schemes were proposed for the soft z pulse and J coupling, and it is shown ...

In this paper, we present a numerical method to solve the nonlinear Volterra-Fredholm integral equations by new basis functions (NFs). This is demonstrated by using a complementary pair of new orthogonal basis functions set (NFs) derived from the well-known block pulse functions set. Finally, we give some numerical examples, and the efficiency of this method will be shown by comparison with som...

A numerical method based on modified block pulse functions is proposed for solving the mixed linear Volterra-Fredholm integral equations. We obtain an integration operational matrix of interval [0,T). and their integration, equations can be reduced to a system algebraic The rate convergence O(h) error analysis are discussed. Some examples provided show that have good degree accuracy.

A new numerical method for solving the nonlinear mixed Volterra-Fredholm integral equations is presented. This method is based upon hybrid functions approximation. The properties of hybrid functions consisting of block-pulse functions and Bernoulli polynomials are presented. The operational matrices of integration and product are given. These matrices are then utilized to reduce the nonlinear m...

In the current study, an optimization process of powder-mixed electrical discharge machining (PMEDM) when cylindrically shaped parts made hardened 90CrSi steel is reported. this SiC powder was mixed into Diel MS 7000 dielectric solution. Additionally, graphite chosen as electrode material. The multi-objective functions were minimizing surface roughness (SR) and wear rate (EWR) maximizing materi...