Mathematical analysis of Xylene kinetics in Scoria biofilters during the biofilm phase

Authors

  • C. Kartheeswari PG and Research Department of Mathematics, Vidhyaa Giri College of Arts and Science,\\ Puduvayal, Tamil Nadu, India
  • R. Vignesh Raju PG and Research Department of Mathematics, Vidhyaa Giri College of Arts and Science,\\ Puduvayal, Tamil Nadu, India
  • N. Jeeva Department of Mathematics, K.S.Rangasamy College of Technology, Tiruchengode, Tamil Nadu, India
  • R. Swaminathan PG and Research Department of Mathematics, Vidhyaa Giri College of Arts and Science,\\ Puduvayal, Tamil Nadu, India

Abstract

Biofiltration, as a mode of bioremediation, has proven to be an effective long-term strategy for controlling xylene. This study aimed to describe the removal of xylene in scoria-based biofilters and the limitations of existing biofilter models by solving the governing equations using the Akbari Ganji method (AGM) and the homotopy perturbation method (HPM). Numerical simulations were conducted using MATLAB software to confirm the accuracy of our findings. This study examined the agreement between analytical and numerical methods for quantifying xylene degradation in biofilters to achieve a high level of experimental reliability. The results of this study can be used to demonstrate that biofilter setups can be optimized to ensure that more xylene is removed during industrial activities, thereby leading to improved environmental management practices.

Published

2025-11-28

How to Cite

Mathematical analysis of Xylene kinetics in Scoria biofilters during the biofilm phase. (2025). Nonlinear Studies, 32(4), 1309-1319. https://nonlinearstudies.com/index.php/nonlinear/article/view/4142