Dot Physics on MSN

Numerical simulation of LR and LRC circuits in Python

Learn how to numerically simulate LR and LRC circuits in Python by solving the circuit differential equations step by step. Explore current and voltage vs. time, compare numerical results to analytic ...
IEEE

Unified Framework for Evaluating Numerical Integration Methods Through Characteristic Root Distortion in Linear Ordinary Differential Equations

Abstract: Analytically solving complex or large-scale differential equations is often difficult or even impossible, making numerical integration methods indispensable. However, as all numerical ...
Dot Physics on MSN

Solving differential equations: Euler vs. Runge-Kutta 4

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 ...
Simon Fraser University

Manfred Trummer

Leevan Ling and Manfred R Trummer. Adaptive multiquadric collocation for boundary layer problems. Journal of Computational and Applied Mathematics, 188(2):265–282, 2006. Richard Baltensperger and ...
GitHub

delay-differential-equations

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...
GitHub

PIML4PDE: Physics-Informed Machine Learning for Solving Partial Differential Equations

The PIML4PDE framework is designed to solve Partial Differential Equations (PDEs) using Physics-Informed Machine Learning (PIML). This framework is intended for educational purposes, demonstrating ...
IEEE

Comparison Newton Method with Bisection Method for Solving Nonlinear Equations

Abstract: Many authors suggested methods to solve nonlinear equations. Each of these methods has its advantages and disadvantages. In this work, we chose some methods with low cost and high accuracy ...