The shallow water equation is a system of partial differential equations that approximates the propagation of ocean waves, river and estuary flows, etc., where the assumption of a relative “shallowness” ...

Abstract: An accurate closed-form formula is derived from an analytical method to calculate dispersion properties of the substrate integrated waveguide (SIW). The derived equation which is a function ...

Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar ...

Abstract: In this brief, we propose a new exact closed-form mutual inductance equation for rectangular conductors. We express the mutual inductance between two parallel rectangular conductors as a ...

This code solves radiative transfer equations using Monte Carlo particle tracing. It is designed for acoustic and elastic wave-energy transport in random scattering media. The code supports multiple ...

1 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. 2 Department of Mathematics, Comilla University, Cumilla, Bangladesh. 3 School of Computer Science and Technology, ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

Flexible metal–organic frameworks (MOFs) are a class of materials that can undergo a structural transition called “gate opening” or “breathing” when adsorbing molecules, resulting in a unique S-shaped ...

Controlling apparent states of microdroplets on surfaces is important for high-resolution printing and chemical reactions. Edges of textured surfaces can significantly affect the apparent shape of ...

ABSTRACT: Considered under their standard form, the fifth-order KdV equations are a sort of reading table on which new prototypes of higher order solitary waves residing there, have been uncovered and ...

Department of Chemical and Biological Engineering, University of Ottawa, 161 Louis Pasteur, Ottawa, OntarioK1N 6N5, Canada ...