The perturbation method to solve subdiffusion-reaction equations

TL;DR

This paper applies the perturbation method to derive approximate analytical solutions for nonlinear subdiffusion-reaction equations, demonstrating its effectiveness through comparison with numerical results.

Contribution

It introduces a perturbation-based approach to solve subdiffusion-reaction equations, providing zeroth and first-order solutions and validating their accuracy.

Findings

Analytical solutions closely match numerical results.

Perturbation method is effective for nonlinear subdiffusion-reaction equations.

First-order solutions improve approximation accuracy.

Abstract

We use the perturbation method to approximately solve subdiffusion-reaction equations. Within this method we obtain the solutions of the zeroth and the first order. The comparison our analytical solutions with the numerical results shown that the perturbation method can be useful to find approximate solutions of nonlinear subdiffusion--reaction equations.