Abstract. Here we utilize operator–valued Lq → Lp Fourier multiplier theorems to establish lower bound estimates for large class of elliptic integrodifferential equations in R. Moreover, we investigate separability properties of parabolic convolution operator equations that arise in heat conduction problems in materials with fading memory. Finally, we give some remarks on optimal regularity of ...

In this paper, one explicit scheme for the linear he at conduction equation in one space dimension is conside re d. We will analysis the truncation error of the method and w ill use the super norm, Fourier series to analysis the stability of the scheme; at last the numerical experiments of initial va lue problem will be presented.

In this article, we develop an extension of the Fourier transform solution method in order to solve conduction equation with nonperiodic boundary conditions (BC). The periodic Lippmann–Schwinger for porous materials is extended case non-periodicity relevant source terms on boundary. formulated space based temperature as unknown, using exact Green function and form factors describe boundaries. D...

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 to e...

The paper deals with the inverse determination of heat source in an unsteady heat conduction problem. The governing equation for the unsteady Fourier heat conduction in 2D region with unknown internal heat source is known as the inverse boundary-initial-value problem. The identification of strength of the heat source is achieved by using the boundary condition, initial condition and a known val...

To realize the lagging behavior in heat conduction observed in these two decades, this paper firstly theoretically excludes the possibility that the underlying thermal inertia is a result of the time delay in heat diffusion. Instead, we verify in experiments the electro-thermal analogy, wherein the thermal inertial is parameterized by thermal inductance that formulates hyperbolic heat-conductio...

A dynamic thermal conduction problem needs a mathematical formulation and solution consisting of cylindrical coordinates materials for the application nuclear reactor and/or laser therapeutic when subjected to higher heat fluxes. In this study, dual-phase-lag (DPL) transient non-Fourier in functional graded material is analytically solved under axial flux condition. Functional Graded Material (...