We use the cylindrical algebraic decomposition algorithms implemented in Mathematica to produce procedures to analytically compute integrals over polynomially defined regions ...

Evaluation of pfaffians arises in a number of physics applications, and for some of them a direct method is preferable to using the determinantal formula. We discuss two ...

This study is concerned with the peristaltic transport of nanofluid in a channel with complaint walls. Transport equations involve the combined effects of Brownian motion and ...

A fast and robust time-independent method to calculate thermal rate constants in the deep resonant tunneling regime for scattering reactions is presented. The method is based ...

In this paper, we propose an iterative approach to increase the computation efficiency of the homotopy analysis method (HAM), a analytic technique for highly nonlinear ...

A three-step method due to Nijhoff and Bobenko & Suris to derive a Lax pair for scalar partial difference equations (PEs) is reviewed. The method assumes that the PEs are ...

First we created a CDF eText for our Calculus text, and then we embarked on a new project in 2011 to write a Precalculus eText from scratch (published by Pearson, Fall 2013). ...

In this paper, a stochastic technique is developed to solve 2-dimensional Bratu equations using feedforward artificial neural networks, optimized with genetic and ...

In this article, we deal with the problems of characterizing isochronous centers for real planar quasi-cubic homogeneous analytic system. The technique is based on reducing ...

Using Mathematica package, we derive analytical closed-form expressions for the shear and the bulk viscosity coefficients in multicomponent relativistic gases with constant ...