We develop a semi-analytical solution based on integral transforms (GITT) that can be employed to predict macroscopic transport in channel-matrix shear flows computationally efficient manner. further demonstrate the newly developed enables real-time macroscale concentration estimation relevant applications.

In this paper, a numerical implementation of an expansion method is developed for solving Abel's integral equations of the first and second kind. The solution of such equations may demonstrate a singular behaviour in the neighbourhood of the initial point of the interval ofintegration. The suggested method is based on the use of Taylor series expansion to overcome the singularity which le...

A solution is presented to a doubly mixed boundary value problem of the torsion of an elastic layer, partially resting on a rigid circular base by a circular rigid punch attached to its surface. This problem is reduced to a system of dual integral equations using the Boussinesq stress functions and the Hankel integral transforms. With the help of the Gegenbauer expansion formula of the Bessel f...

We present a method for mapping variations between probability distribution functions and apply this within the context of measuring galaxy redshift distributions from imaging survey data. This method, which we name PITPZ integral transformations it relies on, uses difference in curves an ensemble as transformation to another function, thus transferring variation latter function. procedure is b...