This repository contains Python code for approximating the solution of a second-order inhomogeneous ordinary differential equation (ODE) with boundary conditions using an Extreme Learning Machine (ELM ...

This repository contains C++ and Python implementations of various numerical methods to solve algebraic, transcendental, and differential equations as part of a numerical computing assignment.

Abstract The differential transformation method (DTM) is applied to solve the second-order random differential equations. Several examples are represented to demonstrate the effectiveness of the ...

A direct power series substitution technique is proposed to solve second order nonlinear differential equations. The errors in truncated power series are estimated to determine the significance of the ...

Explore the oscillation criteria of second-order non-linear homogeneous differential equations in this paper. Discover insightful examples illustrating the results.

Ordinary differential equations (ODEs) are a fundamental tool for modeling dynamical systems in various scientific fields. However, solving ODEs analytically can be challenging, and numerical methods ...