In this paper, we investigate an inverse problem for the radiative transfer equation that is coupled with a heat in nonscattering medium $\mathbb{R}^n, n\geq 2$. The two equations are through nonlinear blackbody emission term proportional to fourth power of temperature. By measuring radiation intensity on surface blackbody, prove property system can be uniquely reconstructed. particular, design...

This study is devoted to the numerical solution of an inverse coefficient problem for a density dependent nonlinear reaction-diffusion equation. The method is based on approximating the unknown coefficient by polynomials. An optimal idea for solving the inverse problem is to minimize an error functional between the output data and the additional data. For this purpose, we find a polynomial of d...

In this article, based on the Euler-Bernoulli beam theory, the large-amplitude vibration of multiwalled carbon nanotubes embedded in an elastic medium is investigated. The method of incremental harmonic balance is implemented to solve the set of governing nonlinear equations coupled via the van der Waals (vdW) interlayer force. The influences of number of tube walls, the elastic medium, nanotub...

estimation of agricultural sector demand and supply and identification of its determinants could lead to more efficient policies and planning of this section. in this study, aggregate demand and supply of agriculture sector for years of 1959-2007 by using of nonlinear restricted armax model are estimated. result indicates that aggregate agriculture demand is inelastic in short and long run. tho...

Nonlinear multigrid methods such as the Full Approximation Scheme (FAS) and Newton-multigrid (Newton-MG) are well established as fast solvers for nonlinear PDEs of elliptic and parabolic type. In this paper we consider Newton-MG and FAS iterations applied to second order differential operators with nonlinear diffusion coefficient. Under mild assumptions arising in practical applications, an app...

This paper studies a general class of nonlinear varying coefficient time series models with possible nonstationarity in both the regressors and the varying coefficient components. The model accommodates a cointegrating structure and allows for endogeneity with contemporaneous correlation among the regressors, the varying coefficient drivers, and the residuals. This framework allows for a mixtur...

This paper studies a general class of nonlinear varying coefficient time series models with possible nonstationarity in both the regressors and the varying coefficient components. The model accommodates a cointegrating structure and allows for endogeneity with contemporaneous correlation among the regressors, the varying coefficient drivers, and the residuals. This framework allows for a mixtur...

The ability of mixed venous oxygen saturation (SvO2) monitoring to reflect changes in cardiac index (CI) with therapy in critically ill patients is unclear. To this end, SvO2 and CI were measured before and during an infusion of enoximone and/or dobutamine in 30 patients with advanced heart failure. A nonlinear relationship was observed between SvO2 and CI with the nonlinear correlation coeffic...