The model of coupled plasma and thermo-elastic wave were used to investigate the wave propagation in a two-dimensional semiconducting half space by using eigenvalues approach. By using Fourier and Laplace transformations with the eigenvalues techniques methodology, the exact solution of all physical quantities is obtained. The boundary edge of the plane is due to a heat flux with a pulse ... Read more

This paper presents an analytical approach associated with Laplace transforms and a sequential concept over time to obtain the increment of temperature in nanoscale beam with fractional order heat conduction clamped from both ends. The governing equations are written in the forms of differential equations of matrix-vector in the domain of the Laplace transforms and are then solved by the ... Read more

This article studies an analytical approach associated with Laplace transform, experimental temperature data and a sequential concept over time to obtain the thermal damage and the temperature in living tissue due to laser irradiation. The effects of blood perfusion and the thermal relaxation time on the temperature of skin tissues and the resulting of thermal damage are investigated. The resulting ... Read more

In this article, the analytical solutions of dual-phase-lag (DPL) bioheat equation with various boundary conditions have been constructed for curative therapy of cancerous cells. The volumetric thermal source components in the model of DPL bioheat transfer, such as the metabolic heat generation and the rate of blood perfusion, are considered. The analytical solutions in the Laplace domain are obtained. The ... Read more

In this article, analysis and investigation have been conducted on the peri- odic nature as well as the type of the solutions of the subsequent schemes of rational difference equations Read more

A mathematical model of Green-Naghdi photothermal theory is given to study the wave propagation in a two-dimensional semiconducting material due to moving heat source. By using the Fourier and Laplace transformations with the eigenvalues method, the physical quantities are obtained analytically. Initially, it is assumed that the medium is at rest and it is subject to a heat source in ... Read more

The purpose of this paper is to provide a method for determining the numerical solutions of the thermal damage of cylindrical living tissues using hyperbolic bioheat model. Due to the complex governing equation, the finite element approach has been adopted to solve these problems. To approve the accuracy of the numerical solution, the numerical outcomes obtained by the finite element ... Read more

The generalized model for plasma, thermal, and elastic waves under dual phase lag model have been applied to determine the carrier density, the displacement, the temperature, and the stresses in a semiconductor medium. Using Laplace transform and the eigenvalue approach methodology, the solutions of all variables have been obtained analytically. A semiconducting material like as silicon was considered. The results ... Read more

http://jaac.ijournal.cn/ch/reader/view_abstract.aspx?file_no=JAAC-2019-0143&flag=1 Read more

In this paper we construct virus dynamics models with impairment of B-cell functions. Two different forms of the incidence rate have been considered, bilinear and general. The latently infected cells have been incorporated into the models. The well-posedness of the models is justified. The models admits two equilibria which are determined by the basic reproduction number R0. The global stability ... Read more