The purpose of this review article is to give an up to date account of the theory and
applications of scale functions for spectrally negative Lévy processes. Our review also …

In this work, we present a review of the GILTT (Generalized Integral Laplace Transform
Technique) solutions for the one and two-dimensional, time-dependent, advection–diffusion …

In the current article, in the presence of thermal and diffusion processes, the equations
governing elastic materials through thermodiffusion are obtained. The Moore–Gibson …

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 …

This study presents a parallel meshless solver for transient heat conduction analysis of
slender functionally graded materials (FGMs) with exponential variations. In the present …

This paper develops a novel boundary meshless approach, Laplace transformed boundary
particle method (LTBPM), for numerical modeling of time fractional diffusion equations. It …

We present the determination of a set of parton distributions of the nucleon, at next-to-
leading order, from a global set of deep-inelastic scattering data: NNPDF1. 0. The …

A bstract In high-energy leptonic collisions, such as at a multi-TeV muon collider, the
collinear splittings of the electroweak (EW) gauge bosons and leptons are the dominant …

Abstract Neural Ordinary Differential Equations model dynamical systems with ODEs
learned by neural networks. However, ODEs are fundamentally inadequate to model …