The importance of anharmonic effect on dissociation of molecular systems, especially clusters, has been noted. In this paper, we shall present a theoretical approach that can carry out the first principle calculations of anharmonic canonical and microcanonical rate constants of unimolecular reactions within the framework of transition state theory. In the canonical case, it is essential to calc...

small scale thermal devices, such as micro heater, have led researchers to consider more accurate models of heat in thermal systems. moreover, biological applications of heat transfer such as simulation of temperature field in laser surgery is another pathway which urges us to re-examine thermal systems with modern ones. non-fourier heat transfer overcomes some shortcomings of fourier heat tran...

Laplace transform is one of the powerful tools for solving differential equations in engineering and other science subjects. Using equations, however, sometimes leads to solutions domain that are not readily invertible real by analytical means. Thus, we need numerical inversion methods convert obtained solution from a domain. In this paper, propose scheme based on inverse approximate fractal-fr...

In a rectangular region, the multilayered laminar unsteady flow and temperature distribution of immiscible Maxwell fractional fluids by two parallel moving walls are studied. The fluid occurs in presence Robin’s boundaries linear fluid-fluid interface conditions due to motion on its planes time-dependent pressure gradient. problem is defined as mathematical model which focuses memory, represent...

To examine the effects of nonlocal thermoelastic parameters in a nanoscale semiconductor material, novel model with variable thermal conductivity is provided this study. The photothermal diffusion (PTD) processes chemical action are utilized framework governing equations. When elastic, thermal, and plasma waves interact, continuum theory used to create model. For main formulations get analytica...

Small scale thermal devices, such as micro heater, have led researchers to consider more accurate models of heat in thermal systems. Moreover, biological applications of heat transfer such as simulation of temperature field in laser surgery is another pathway which urges us to re-examine thermal systems with modern ones. Non-Fourier heat transfer overcomes some shortcomings of Fourier heat tran...

in this paper, we apply the laplace decomposition method to obtain a series solutions of the burgers-huxley and burgers-fisher equations. the technique is based on the application of laplace transform to nonlinear partial differential equations. the method does not need linearization, weak nonlinearity assumptions or perturbation theory and the nonlinear terms can be easily handled by using the...

In this paper we are interested in solving parabolic problems with a piecewise constant diffusion coefficient on structured Cartesian meshes. The aim of this paper is to investigate the applicability and convergence behavior of combining two non-conventional but innovative methods: the Laplace transformation method in the discretization of the time variable and the immerse finite element method...