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 ...
IEEE

Numerical Solution of Second-Order Fredholm Integro-Differential Equations Using the Chebyshev Collocation Method

Abstract: This paper explores the reliability of the Chebyshev collocation Method (CCM) as a numerical approach used for solving a specific class of equations known as the second-order Fredholm ...
IEEE

Bootstrap-Driven Adaptive Resampling for Enhanced Solutions of Second-Order Differential Equations in RLC Circuits Using PINNs

Abstract: Physics-informed neural networks (PINNs) offer a flexible framework for solving differential equations using physical constraints and data. This study focuses on second-order ...