Mathematical Analysis of Non-Isothermal Reaction–Diffusion Models Arising in Spherical Catalyst and Spherical Biocatalyst

Mathematical Models of Binary Spherical-Motion Encoders

This paper presents several algorithms that solve the problem of determining the orientation of a freely rotating ball that is partially enclosed in a housing. The ball is painted in two colors (black and white) and the housing has a number of sensors that detect these colors. The question we answer is: Knowing how the ball is painted, knowing the location of the sensors, and given a complete s...

Non - Spherical Stellar Models of Compact Stars

A Mathematical Model for Indian Ocean Circulation in Spherical Coordinate

In recent years, the Indian Ocean (IO) has been discovered to have a much larger impact on climate variability than previously thought. This paper reviews processes in which the IO is, or appears to be, actively involved. We begin the mathematical model with a pattern for summer monsoon winds. Three dimensional temperature and velocity fields are calculated analytically for the ocean forced by ...

Numerical Study on the Reaction Cum Diffusion Process in a Spherical Biocatalyst

In chemical engineering, several processes are represented by singular boundary value problems. In general, classical numerical methods fail to produce good approximations for the singular boundary value problems. In this paper, Chebyshev finite difference (ChFD) method and DTM-Pad´e method, which is a combination of differential transform method (DTM) and Pad´e approximant, are applied for sol...

llenges in packing problems: from spherical to non-spherical particles

HIGHLIGHT Adrian Baule and Hernán A. Makse Fundamental challenges in packing problems: from spherical to non-spherical particles Random packings of objects of a particular shape are ubiquitous in science and engineering. However, such jammed matter states have eluded any systematic theoretical treatment due to the strong positional and orientational correlations involved. In recent years progre...