Single Particle Battery Model via universal transform method

TL;DR

This paper derives an explicit analytic solution for the diffusion equation in spherical particles within the single particle battery model using a universal transform method, providing insights into battery behavior.

Contribution

It introduces a universal transform approach to solve the diffusion equation analytically in the single particle battery model, enhancing understanding of battery dynamics.

Findings

Explicit analytic solution derived

Improved understanding of diffusion in spherical particles

Potential for better battery modeling and design

Abstract

We obtain and investigate explicit analytic solution via universal transform of the diffusion equation in a spherical particles which appears in the so-called single particle model, a popular simple model of an electric battery.