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 ...