This paper proposes the application of Direct Approach algorithm for feeder routing of radial distribution system. For which a complete network of available routes is considered and the optimization goal is to find the routes that provide the minimum number of energizing nodes for existing network and load flow analysis for the same network. The feasibility of proposed algorithm is applied on 2...

Radial Basis Functions (RBFs) have been found to be widely successful for the interpolation of scattered data over the last several decades. The numerical solution of nonlinear Partial Differential Equations (PDEs) plays a prominent role in numerical weather forecasting, and many other areas of physics, engineering, and biology. In this paper, Differential Quadrature (DQ) method- based RBFs are...

Definition 3: X(yO) = -sup {X': u(rOuOy0) exp X' T is bounded for all T, 0 . T< +O}. Type numbers (or their negatives, Lyapunov numbers) are usually defined somewhat more generally than this,2 but only the radial type numbers defined above are needed here. Now. any hypothesis concerning the real parts of the characteristic roots of A when k = 1 can be formulated in terms of the radial type numb...

In this paper we establish optimal pointwise decay estimates for non-dispersive (compact) radial solutions to non-linear wave equations in 3 dimensions, in the energy supercritical range. As an application, we show for the full energy supercritical range, in the defocusing case, that if the scale invariant Sobolev norm of a radial solution remains bounded in its maximal interval of existence, t...