In this paper, the combination of conduction with radiation into a semitransparent medium which includes absorption, emission and scattering has been investigated. In order to Study the conduction in medium, the Non-Fourier heat conduction has been applied. In this model there is a time delay between heat flux and temperature gradient. Also, in contrast with Fourier heat conduction, the speed o...

This paper describes reconstruction of the heat transfer coefficient occurring in the boundary condition of the third kind for the time fractional heat conduction equation. Fractional derivative with respect to time, occurring in considered equation, is defined as the Caputo derivative. Additional information for the considered inverse problem is given by the temperature measurements at selecte...

The present essay scrutinizes the application of discrete mollification as a filtering procedure to solve a nonlinear backward inverse heat conduction problem in one dimensional space. These problems are seriously ill-posed. So, we combine discrete mollification and space marching method to address the ill-posedness of the proposed problem. Moreover, a proof of stability and<b...

whereas in electrical discharge machining (edm) the heat flux entering the workpiece is extremely high, the fourier heat conduction model may fails. this article reports on determination of temperature distribution in the workpiece due to edm using non-fourier heat conduction model. equations are solved by deriving the numerical solution. the temperature layers and profiles of sample calculatio...

The transmutation operator method is extended to the case of functions two variables. flattens function, i.e. replaces a function with discontinuous partial derivatives on coordinate axes by continuously differentiable function. work reveal properties operator, and prove commutativity Laplace operator. It was found that Cauchy problem for equation internal conjugations in an unbounded domain ca...