Fractional calculus has many advantages. Under consideration of this paper is a (2+1)-dimensional non-linear local fractional heat conduction equation with arbitrary degree non-linearity. Backlund transformation reduced form the constructed by Painleve analysis. Based on transformation, some exact non-differentiable solutions are obtained. To gain more insights obtained solutions, two constrain...

Based on the Lagrangian description of dissipative oscillator, Hamiltonian Fourier heat conduction is treated here. The method enables us to calculate solution thermal propagation involving Maxwell-Cattaneo-Vernotte (MCV) telegrapher type also, in which both initial and boundary conditions are taken into account. presented study offers a new kind certain partial differential equations.

A conforming representation composed of two-dimensional finite elements and finite Fourier series is applied to three-dimensional nonlinear non-ideal magnetohydrodynamics using a semi-implicit time-advance. The self-adjoint semi-implicit operator and variational approach to spatial discretization are synergistic and enable simulation in the extremely stiff conditions found in high temperature p...

A method is presented to determine power dissipation in piezoelectric slabs with internal losses and the resulting temperature distribution. The length of the slab is much greater than the lateral dimensions. Losses are represented using complex piezoelectric coefficients. It is shown that the spatially non-uniform power dissipation density in the slab can be determined by considering either hy...

Background: Carpal tunnel syndrome is the most common neuropathy in the general population. Nerve conduction studies are among the standard methods for diagnosing carpal tunnel syndrome. Electromyography is painful and unpleasant, and if nerve conduction studies can be used to diagnose axonal injury in carpal tunnel syndrome, electromyography might be replaced. Objectives: This study aimed t...

In the present paper, problem of finite dimensional rectangular parallelepiped in isotropic thermoelastic medium with convective type heating is considered. The heat conduction equation (HCE) region described by time HC fractional order Caputo derivative form. non-linear form converted to linear Kirchhoff’s transformation. Integral transform technique used deal spatial variables and Laplace der...

Photoluminescence (PL) properties of undoped ZnO thin films grown by rf magnetron sputtering on silicon substrates have been investigated. ZnO/Si substrates are characterized by Rutherford backscattering (RBS), X-ray diffraction (XRD), Fourier transform infrared (FTIR), and X-ray photoelectron spectroscopy (XPS). ZrO 2 thin films have been deposited on ZnO using microwave plasma enhanced chemic...

We present a fast and robust method for the full-band solution of the Schrödinger equation on a grid, with the goal of achieving a more complete description of high energy states and realistic temperatures. Using fast Fourier transforms, the Schrödinger equation in the one band approximation can be expressed as an iterative eigenvalue problem for arbitrary shapes of the conduction band. The res...