Increasing applications of laminated composite structures necessitate the development equivalent single layer (ESL) models that can achieve similar accuracy but are more computationally efficient than 3D or layer-wise models. Most ESL displacement-based do not guarantee interfacial continuity shear stresses within laminates. A possible remedy is enforcement interlaminar equilibrium in variation...

In this work, we applied Chebychev spectral collocation method to analyze the unsteady two-dimensional flow of nanofluid in a porous channel through expanding or contracting walls with large injection or suction. The solutions are used to study the effects of various parameters on the flow of the nanofluid in the porous channel. From the analysis, It was established that increase in expansion r...

An approximation of the Fourier Sine Transform via Grüss, Chebychev and Lupaş integral inequalities and application for an electrical curcuit containing an inductance L, a condenser of capacity C and a source of electromotive force E0P (t), where P (t) is an L2−integrable function, are given.

in the 1960's noboru iwahori and hideya matsumoto, eiichi abe and kazuo suzuki, and michael stein discovered that chevalley groups $g=g(phi,r)$ over a semilocal ring admit remarkable gauss decomposition $g=tuu^-u$, where $t=t(phi,r)$ is a split maximal torus, whereas $u=u(phi,r)$ and $u^-=u^-(phi,r)$ are unipotent radicals of two opposite borel subgroups $b=b(phi,r)$ and $b^-=b^-(phi,r)$ contai...

We study the center of two-parameter quantum supergroup $U_{r,s}(osp(1,2))$ using Dickson polynomial. show that Scasimir operator is completely determined by $q$-deformed Chebychev polynomial, generalizing an earlier work Arnaudon and Bauer.

A propagation scheme for time-dependent inhomogeneous Schrödinger equations is presented. Such equations occur in time dependent optimal control theory and in reactive scattering. A formal solution based on a polynomial expansion of the inhomogeneous term is derived. It is subjected to an approximation in terms of Chebychev polynomials. Different variants for the inhomogeneous propagator are de...

We present the theories used in solid-state nuclear magnetic resonance and the expansion schemes used as numerical integrators for solving the time dependent Schrodinger Equation. We highlight potential future theoretical and numerical directions in solid-state nuclear magnetic resonancesuch as the Chebychev expansion and the transformation of Cayley.

Steffensen’s inequality is generalised to allow bounds involving any two subintervals rather than restricting them to include the end points. Further results are obtained involving an identity related to the generalised Chebychev functional in which the difference of the mean of the product of functions and the product of means of functions over different intervals is utilised. Bounds involving...