SciELO

Propagation of SH Waves in a Double Non-Homogeneous Crustal Layers of Finite Depth Lying Over an Homogeneous Half-Space

The present paper studies the Propagation of SH waves in a double non-homogeneous crustal layers lying over an isotropic homogeneous half-space, where upper layer ((i.e. rigidity and density varying ...
GitHub

Solving Ordinary Differential Equations Numerical Method Implementation in Python

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...
Frontiers

Complex solutions for nonlinear fractional partial differential equations via the fractional conformable residual power series technique and modified auxiliary equation method

The fractional-order nonlinear Gardner and Cahn–Hilliard equations are often used to model ultra-short burst beams of light, complex fields of optics, photonic transmission systems, ions, and other ...
Frontiers

A modern analytic method to solve singular and non-singular linear and non-linear differential equations

1 Department of Mathematics, Faculty of Science, Al Balqa Applied University, Salt, Jordan 2 Department of Mathematics, Faculty of Science, Zarqa University, Zarqa, Jordan This article circumvents the ...
IEEE

Explicit Solutions and Stability Properties of Homogeneous Polynomial Dynamical Systems

Abstract: In this article, we provide a system-theoretic treatment of certain continuous-time homogeneous polynomial dynamical systems (HPDS) via tensor algebra. In particular, if a system of ...
Scientific Research Publishing

The Riccati Equation, Differential Transform, Rational Solutions and Applications ()

Department of Mathematics and Computer Sciences, Marist College, Poughkeepsie, NY, USA. This equation arises in many fields of mathematics and physics. It has applications in random processes, optimal ...
Business Wire

Physicians Use MediPines Non-Invasive Gas-Exchange Analyzer Technology to Assist with Differential Diagnosis for Pulmonary Embolism

YORBA LINDA, Calif.--(BUSINESS WIRE)--An increasing number of physicians have been utilizing a unique gas exchange analyzer technology to enhance recognition and diagnosis of pulmonary embolism (PE) ...