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...

A practical method to calculate time evolutions of magnetic field effects (MFEs) on photochemical reactions involving radical pairs is developed on the basis of the theory of the chemically induced dynamic spin polarization proposed by Pedersen and Freed. In theory, the stochastic Liouville equation (SLE), including the spin Hamiltonian, diffusion motions of the radical pair, chemical reactions...

It is demonstrated that the method of steps for linear delay-differential equation together with the inverse Laplace transform can be used to find a converging sequence of polynomial approximants to the transcendental function determining stability of the delay equation. Numerical stability charts are shown to illustrate convergence. This approach can serve as a basis for an efficient numerical...

The traditional theory of Laplace transformation (TLT) as it was put forward by Gustav Doetsch was principally intended to provide an operator calculus for ordinary derivable functions of the t-domain. As TLT does not account for the behavior of the inverse L-transform at t = 0 its validity is essentially confined to t > 0. However, from solutions of linear differential equations (DEs) one can ...

The traditional theory of Laplace transformation (TLT) as it was put forward by Gustav Doetsch was principally intended to provide an operator calculus for ordinary derivable functions of the t-domain. As TLT does not account for the behavior of the inverse L-transform at t = 0 its validity is essentially confined to t > 0. However, from solutions of linear differential equations (DEs) one can ...

In this paper, the preconditioning technique of an elliptic Laplace problem in a global circulation ocean model is analyzed. We suggest an inverse preconditioning technique in order to efficiently compute the numerical solution of the elliptic kernel. Moreover, we show how the convergence rate and the performance of the solver are strictly linked to the discretized grid resolution and to the La...