Differential Equations Articles

Page 1 of 1 (3 articles)

4/25/2026 • EN

Closed-form solution to the nonlinear pendulum equation

Explores the exact closed-form solution to the nonlinear pendulum equation using Jacobi elliptic functions, comparing it with numerical and linearized solutions.

Differential Equations Jacobi Elliptic Functions Nonlinear Pendulum Python Scipy

John D. Cook

3/2/2026 • EN

Differential equation with a small delay

Explores how small delays affect differential equations, comparing behavior with and without delays using mathematical analysis and examples.

Delay Differential Equations Differential Equations Mathematica mathematical modeling Numerical Analysis

John D. Cook

11/25/2020 • EN

Generalised Fourier Series

Explores generalized Fourier series expansions using orthogonal function bases, with examples from Legendre polynomials and practical Jupyter notebook code.

Differential Equations Fourier Series Legendre Polynomials mathematics Physics

Jake Lishman

Differential Equations Articles

Closed-form solution to the nonlinear pendulum equation

Differential equation with a small delay

Generalised Fourier Series

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