Learn how to solve differential equations using Euler and Runge-Kutta 4 methods! This tutorial compares both techniques, explaining accuracy, step size, and practical applications for physics and ...

This repository allows you to solve forward and inverse problems related to partial differential equations (PDEs) using finite basis physics-informed neural networks (FBPINNs). To improve the ...

This paper sets out to present a numerical procedure that solves Poisson’s equation in a spherical coordinate system. To discretize this equation, integration techniques at the interfaces between ...

The currents of the oceans, the roiling surface of the sun, and the clouds of smoke billowing off a forest fire—all are ...

A mathematical trick speeds up seismic calculations for earthquake simulations and could revolutionize earthquake preparedness.

Make sure you are confident in solving one and two-step linear equations and expanding brackets in order to tackle these more complex types of equations. Substitute close substituteIn algebra, to ...

Abstract: During the past two decades, many evolutionary algorithms have been proposed to solve nonlinear equation systems (NESs). However, the benchmark test sets have not received enough attention.

Abstract: In this article, a novel and challenging problem called future different-level system of nonlinear inequality and linear equation (FDLSNILE) is proposed and investigated. To solve FDLSNILE, ...

Primary emphasis on conceptual understanding of and solving problems involving whole numbers, integers, mathematical operations, decimals, decimal operations, fractions, percentages, angles and ...