# Analytical Solution of Concentrated Mixtures of Hydrogen Sulfide and Methanol in Steady State in Biofilm Model

## Authors

• A. Uma PG & Research Department of Mathematics, Vidhyaa Giri College of Arts and Science (Affiliated to Alagappa University), Puduvayal, TamilNadu, India https://orcid.org/0009-0001-6299-2194
• R. Raja Ramanujan Center for Higher Mathematics, Alagappa University, Karaikudi, India
• R. Swaminathan PG & Research Department of Mathematics, Vidhyaa Giri College of Arts and Science (Affiliated to Alagappa University), Puduvayal, TamilNadu, India

## Keywords:

Akbari Ganji Method, biofilm model, Homotopy Perturbation Method, hydrogen sulfide, mathematical modeling, methanol, non-linear equation

## Abstract

The mathematical model of steady-state biofiltration of hydrogen sulfide and methanol mixtures is explored in this work. The non-linear term associated with monoid kinetics is a part of the system of non-linear reaction-diffusion equations on which this model is built. By applying the Akbari Ganji Method and the Homotopy Perturbation Method to resolve the non-linear equations, an approximate analytical solution of the concentrate mixtures in the biofilm model is obtained. Furthermore, this paper reports numerically by exploiting the Matlab software. By comparing the analytical solution with numerical findings, the accuracy of the method is presented. The new analytical results contribute to optimizing the consistency of this model. These novel approaches produce a compact set of analytical approximations that are straightforward to compute and verify as well.

2024-07-10

## How to Cite

1.
Uma A, Raja R, Swaminathan R. Analytical Solution of Concentrated Mixtures of Hydrogen Sulfide and Methanol in Steady State in Biofilm Model. Contemp. Math. [Internet]. 2024 Jul. 10 [cited 2024 Jul. 13];5(3):2632-45. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/4394

Research Article