Scattering polarization properties are one of the main characteristics a target. Different material types target surface can be expressed by scattering properties, and use to characterise more effectively is highly interesting topic. However, existing polarized bidirectional reflection distribution function (pBRDF) based on microfacet theory for modelling light transmission over rough surfaces ...

This study presents the effect of porosity on mechanical behaviors of a power distribution functionally graded beam. The Euler-Bernoulli beam is assumed to describe the kinematic relations and constitutive equations. Because of technical problems, particle size shapes and micro-voids are created during the fabrication which should be taken into consideration. Two porosity models are proposed. T...

Abstract Models of various physical, biological, and artificial phenomena follow a power law over multiple magnitudes. This article presents modified Pareto model with an upside-down shape adjustable right tail. The moments, quantiles, failure rate, mean residual life, quantile life functions are examined. In addition, some stochastic ordering characteristics the proposed investigated. estimati...

In this paper, the authors present a modified convergent analytic algorithm for the solution of nonlinear boundary value problems by means of a variable parameter method and briefly, the method is called optimal variable parameter method. This method, based on the embedding of a parameter and an auxiliary operator, provides a computational advantage for the convergence of the approximate soluti...

The nonparametric estimation(NE) of kernel polynomial regression (KPR) model is a powerful tool to visually depict the effect of covariates on response variable, when there exist unstructured and heterogeneous data. In this paper we introduce KPR model that is the mixture of nonparametric regression models with bootstrap algorithm, which is considered in a heterogeneous and unstructured framewo...

Abstract In this study, the modified fractal gas dynamics model (GDM) with variable coefficients is successfully represented using derivative. We obtain variational principle of GDM by employing semi‐inverse method. Based on established principle, a new and fascinating algorithm presented to solve model, which called two‐scale method (FTSVM). Finally, two numerical examples are given indicate e...