Methods for calculating the solid angles subtended at a point by closed contours of some given objects are required in manu areas of optical and nuclear physics to estimate ...

For students as well as experienced practitioners who would like to explore quantum physics using Mathematica. Divided into two parts: Systems in One Dimension and Quantum ...

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 ...

Analytical solution for the conversion of an isothermal axially dispersed plug flow reactor accomplishing a first order reaction is obtained. Only numerical solution for the ...

The mapping method is used by the aid of symbolic computation system Mathematica for constructing exact solutions to the coupled Klein–Gordon–Schrödinger equations and ...

The problem of MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet is investigated analytically. Governing equations are reduced to a set of ...

The finite sample performance of a nearest neighbor classifier is analyzed for a two-class pattern recognition problem. An exact integral expression is derived for the ...

Over the past two decades the wide availability of powerful computational software such as Mathematica has had a significant effect upon the way calculus is taught and ...

In this study, we investigate some new analytical solutions to the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation and the (2 + ...

A nonlinear third order singular ordinary differential equation is a model for a viscous fluid which drains over a wet surface as a thin film down a vertical wall. Here, we ...