This paper presents an analysis of the applicability of the curve curvature in optimal synthesis of mechanisms. The concept of utilizing the normalized Fourier coefficients ...

VisualDSolve is a Mathematica e-book and accompanying package showing how Mathematica's visualization tools can be used to enhance the viewing of solutions to differential ...

Adomian polynomials (AP’s) are expressed in terms of new objects called reduced polynomials (RP’s). These new objects, which carry two subscripts, are independent of the ...

We study matching in flat theories both from theoretical and practical points of view. A flat theory is defined by the axiom f .x; f .y/; z/ :D f .x; y; z/ that indicates ...

The concept of Wiener chaos generalizes to an infinite-dimensional setting the properties of orthogonal polynomials associated with probability distributions on the real ...

In this article the sum of the series of multivariable Adomian polynomials is demonstrated to be identical to a rearrangement of the multivariable Taylor expansion of an ...

Growth curves are monotonically increasing functions that measure repeatedly the same subjects over time. There are many applications, such as in the analysis of plant and ...

This article looks at the peristaltic flow of nanofluid in a channel with compliant walls. Brownian motion and thermophoresis effects are taken into consideration. ...

In this article we present sixth order methods developed by extending third order methods of Herceg and Herceg (2013) for solving nonlinear equations. The methods require ...

We develop a novel transformation that maps the linear, non-homogeneous, multidimensional population balance equation (PBE) into an advection equation that is readily solved ...