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...