We provide a detailed description of numerical approach that makes use the shifted Chebyshev polynomials sixth kind to approximate solution some fractional order differential equations. Specifically, we choose Fisher–Kolmogorov–Petrovskii–Piskunov equation (FFKPPE) describe this method. write our in product form, which consists unknown coefficients and polynomials. To compute values coefficient...

Fischer-tropsch catalysts with high activity and selectivity for olefins were produced using mordenite type SiO2/Al2O3= 12, 20, 28, 62 zeolite supported iron carbonyl compounds and were characterized by X-ray powder diffraction. The adsorptionof volatile Fe(CO)5 on the support surface was carried out under vacuum at room temperature. Reduction les...

Most mathematical models contain uncertainties that may be originated from various sources such as initial and boundary conditions, geometry representation of the domain and input parameters. When these sources are expressed as random processes or random fields, partial differential equations describing the underlying models become stochastic partial differential equations (SPDEs). Stochastic m...

This work proposes and analyzes a sparse grid stochastic collocation method for solving elliptic partial differential equations with random coefficients and forcing terms (input data of the model). This method can be viewed as an extension of the Stochastic Collocation method proposed in [Babuška-Nobile-Tempone, Technical report, MOX, Dipartimento di Matematica, 2005] which consists of a Galerk...

The buckling of an elastic plate with arbitrary shape flush-mounted on a rigid wall and deforming under the action of a uniform tangential load due to an overpassing simple shear flow is considered. Working under the auspices of the theory of elastic instability of plates governed by the linear von Kármán equation, an eigenvalue problem is formulated for the buckled state resulting in a fourth-...

In this study, the effect of preparation technique of carbon nanotube (CNT)-supported cobalt catalysts on the activity and selectivity of Fischer-Tropsch synthesis (FTS) was studied. Different concentrations of acetic acid were used for the pretreatment of the catalyst support to modify the surface properties of CNT. This modification improved the reduction degree and dispersion of supported co...