Abstract Systems of time-delay differential equations are widely used to study the dynamics infectious diseases and immune responses. The Marchuk-Petrov model is one them. Stable non-trivial steady states stable periodic solutions this can be interpreted as chronic viral diseases. In work we briefly describe our technology developed for computing systems present discuss results with parameter v...

 Abstract : The meshless local Petrov-Galerkin method with unity as the weighting function has been applied to the solution of the Navier-Stokes and energy equations. The Navier-Stokes equations in terms of the stream function and vorticity formulation together with the energy equation are solved for a driven cavity flow for moderate Reynolds numbers using different point distributions. The L2-...

In this paper we investigate the numerical approximation of fractional diffusion, advection, reaction equation on a bounded interval. Recently explicit form solution to was obtained. Using boundary behavior and Jacobi polynomials, Petrov–Galerkin scheme is proposed analyzed. Numerical experiments are presented which support theoretical results, demonstrate accuracy optimal convergence method.

In electromagnetism, the concept of Poynting vector as measured by an observer is well known. A mathematical analogue in general relativity super-Poynting Weyl tensor. Observers for which (super-)Poynting vanishes are called principal. When, at a given point, electromagnetic field non-null, or gravitational Weyl–Petrov type I D, principal observers instantaneously passing through that point alw...