We consider the inverse problem of identification degenerate diffusion coefficient form $x^\alpha a(x)$ in a one dimensional parabolic equation by some extra data. first prove energy methods uniqueness and Lipschitz stability results for constant $a$ power $\alpha$ knowing an interior data at time. On other hand, we obtain result general coefficients $a(x)$ also boundary on side space interval....

Relativistic and non-relativistic ratios of Laplace transform QCD moment sum rules for charmonium are used in order to determine the value of the on-shell charmquark mass. The validity of the non-relativistic version of QCD sum rules in this particular application is discussed. After using current values of the perturbative and non-perturbative QCD parameters, as well as experimental data on th...

reduced differental transform method (rdtm), which isone of the useful and effective numerical method, is applied to solve nonlinear time-dependent foam drainage equation (fde) with different initial conditions. we compare our method with the famous adomian decomposition and laplace decomposition methods. the obtained resultsdemonstrated that rdtm is a powerful tool for solving nonlinear par...

A numerical methodology is proposed for the calculation of transient electromagnetic interference induced by overhead high-voltage power lines in metallic structures buried soil—pipelines oil or gas transportation. series 2D finite element simulations was employed to sample harmonic response a given geometry section. The inverse Laplace transform results allowed obtaining time domain evolution ...

An infinitely long hollow cylinder containing isotropic linear elastic material is considered under the effect of arbitrary boundary stress and thermal condition. The two-dimensional coupled thermoelastodynamic PDEs are specified based on equations of motion and energy equation, which are uncoupled using Nowacki potential functions. The Laplace integral transform and Bessel-Fourier series are u...

A class of enhancement techniques is proposed for images in arbitrary dimension D. They are free from either space/frequency (scale) or grey references. There are two subclasses. One subclass is the chain: {Negative Laplace operator, Multiplication by Power (γ−1) of modulus-Laplace value, Inverse Negative Laplace operator} together with generalized versions. The generalization of the Negative L...

This paper examines the performance of five algorithms for numerically inverting Laplace transform, in standard, 16-digit and multi-precision environments. The are taken from three four main classes numerical methods used to invert transform. Because inversion transform is a perturbed problem, rounding errors which generated approximations can adversely affect accurate reconstruction inverse de...

In this paper, we consider the numerical inverse Laplace transform for distributed order time-fractional equations, where a discontinuous Galerkin scheme is used to discretize problem in space. The success of Talbot’s approach computation depends critically on problem’s spectral properties and present method numerically enclose spectrum compute resolvent estimates independent size. new results ...