In this paper, an optimal control of quadratic performance index with nonlinear constrained is presented. The sine-cosine wavelet operational matrix of integration and product matrix are introduced and applied to reduce nonlinear differential equations to the nonlinear algebraic equations. Then, the Newton-Raphson method is used for solving these sets of algebraic equations. To present ability ...

we describe how to obtain electronic transport properties of disordered graphene, including the tight binding model and nearest neighbor hopping. we present a new method for computing, electronic transport wave function and greens function of the disordered graphene. in this method, based on the small rectangular approximation, break up the potential barriers in to small parts. then using the f...

It is well known that central simple algebras are split by suitable finite Galois extensions of their centers. In [JM08] a counterpart this result was studied in the set up differential matrix algebras, wherein Picard-Vessiot were constructed. article, we exhibit instances which extensions. some cases, relate existence splitting algebra to triviality its tensor powers, and show these orders div...

In this paper we consider a matrix Hypergeometric differential equation, which are special functions and solution of specific second order linear equation. The aim work is to extend well known theorem on function in the complex plane version, show that asymptotic expansions ” given literature members our main result. Background motivation discussed.

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...

in oil industry, spontaneous imbibition is an important phenomenon in recovery from fractured reservoirs which can be defined as spontaneous uptake of a wetting fluid into a porous solid. spontaneous imbibition involves both cocurrent and countercurrent flows. when a matrix block is partially covered by water, oil recovery is dominated by cocurrent imbibition i.e. the production of non wetting ...