In this video, learn how to solve boundary value differential equations using the finite difference method in Python. We break down the mathematical theory behind differential equations and transform ...

Computational fluid dynamics (CFD) is a branch of physics that utilizes numerical methods and algorithms to analyze and predict the behavior of fluids and gases under various conditions. This field ...

Gene knockdown is a common method for studying gene function by reducing messenger ribonucleic acid (mRNA) levels without altering the deoxyribonucleic acid (DNA). Among the available techniques, RNA ...

Compared to the conventional high-order staggered-grid finite-difference method (C-SFD), the time–space domain dispersion-relation-based high-order staggered-grid finite-difference method (TS-SFD) can ...

Systems of interacting electrons can show emergent, strong-correlation phenomena. The parquet equations self-consistently relate various propagation amplitudes of many-electron systems and thereby ...

Abstract: This paper presents a finite difference method for the design of gradient coil in MRI. In this method, a linear matrix equation is formulated using a finite-difference approximation of the ...

Finite difference methods have become a cornerstone in the simulation of seismic wave propagation, providing a robust numerical framework to approximate the differential equations that govern seismic ...

ZTEM (Z-Axis Tipper Electromagnetic System) is a frequency-domain airborne electromagnetic exploration method that utilizes natural field sources. This method is highly efficient and capable of ...

Abstract: In this paper, we propose a novel approach for modeling magnetized graphene in the Finite-Difference TimeDomain method by applying an anisotropic conducting boundary condition. Magnetize ...