The Green's function (GF) method, which makes use of GFs, is an important and elegant tool
for solving a given boundary-value problem for the differential equation from a real …

Operational methods have been used for over a century to solve problems such as ordinary
and partial differential equations. When solving such problems, in many cases it is fairly …

We introduce and investigate a framework for constructing algorithms to invert Laplace
transforms numerically. Given a Laplace transform ̂ f of a complex-valued function of a …

For the numerical inversion of Laplace transforms we suggest to use multi‐precision
computing with the level of precision determined by the algorithm. We present two such …

During the past 20 years, there has been enormous productivity in theoretical as well as
computational integration. Some attempts have been made to find an optimal or best …

The Green's function for three-dimensional transient heat conduction (diffusion equation) for
functionally graded materials (FGMs) is derived. The thermal conductivity and heat …

We investigate biased and nonbiased aging continuous time random walks (ACTRW), using
fractal renewal theory. For example, a biased ACTRW process describes a Montroll–Weiss …

Монография представляет собой последовательное изложение нового численно-
аналитического метода решения динамических задач механики деформируемого …

A semianalytical solution is presented for a mathematical model describing the flow of
groundwater in response to a slug or pumping test in a highly permeable, confined aquifer …

Poroelastic materials are common in nature and have applications in many engineering
fields. In this paper, we derive a general solution of indentation over a multilayered half …