Abstract: This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational ...

This eBook examines the full PFAS lifecycle, connecting regulatory drivers with real‑world analytical performance ...

A recent study found that people may perceive fewer negative effects of alcohol if they are also using cannabis at the same time. Many young adults drink alcohol and use cannabis together, at the same ...

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 ...

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 ...

Wadsworth Center, New York State Department of Health, Empire State Plaza, Albany, New York 12237, United States Department of Environmental Health Sciences, State University of New York at Albany, ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. As soon as an appropriate mathematical model is developed, it can ...

Isotopes are atoms of the same element that have different numbers of neutrons in their nuclei, which give them different atomic masses. Percent abundance is the percentage of an isotope’s occurrence ...