# Simple Harmonic Oscillators (SHOs) (Part I)

A mathematical analysis of forced oscillations.

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# Category: Mathematics

# Simple Harmonic Oscillators (SHOs) (Part I)

# Monte Carlo Simulations of Radiative Transfer: Overview

# Solution to Laplace’s Equation

# Solution to Legendre’s Differential Equation

A mathematical analysis of forced oscillations.

Recently, I have finished my research project in radiative transfer theory and I plan to share it. I am going to be starting a series of posts in which I will describe the project and the results.

This post deals with the familiar (to the physics student) Laplace’s equation. I am solving this equation in the context of physics, instead of a pure mathematical perspective. This problem is considered most extensively in the context of electrostatics. This equation is usually considered in the spherical polar coordinate system. A lot of finer details […]

Solution to the Legendre Differential Equation by Power Series Method