The Use of Haar Wavelet Functions for Solving Two Problems in Chemistry

In this paper, we present a numerical technique to solve two mathematical models corresponding to two problems in the field of chemistry. One of these problems delves into the dynamic interplay of carbon substrates and oxygen concentrations within a microbial floc particle. Another problem relates to the chemical reaction of carbon dioxide CO2 and phenyl glycidyl ether in solution. The proposed method is based on Haar wavelet functions. This method reduces the problems mentioned to sets of algebraic equations. The method is straightforward, and numerical results validate its effectiveness. To demonstrate its efficiency, we have compared the numerical results to some existing results.

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Publication Details

Journal
match Communications in Mathematical and in Computer Chemistry
Published
2025-01-01
DOI
https://doi.org/10.46793/match95-1.03025
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
Field-Weighted Citation Impact
0.00
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article

The Use of Haar Wavelet Functions for Solving Two Problems in Chemistry

Mehdi Sabzevari, Morteza Bisheh-Niasa
match Communications in Mathematical and in Computer Chemistry
Mathematical Analysis and Transform Methods
article

The Use of Haar Wavelet Functions for Solving Two Problems in Chemistry

Mehdi Sabzevari, Morteza Bisheh-Niasa
article en

Abstract

In this paper, we present a numerical technique to solve two mathematical models corresponding to two problems in the field of chemistry. One of these problems delves into the dynamic interplay of carbon substrates and oxygen concentrations within a microbial floc particle. Another problem relates to the chemical reaction of carbon dioxide CO2 and phenyl glycidyl ether in solution. The proposed method is based on Haar wavelet functions. This method reduces the problems mentioned to sets of algebraic equations. The method is straightforward, and numerical results validate its effectiveness. To demonstrate its efficiency, we have compared the numerical results to some existing results.

match Communications in Mathematical and in Computer ChemistryVol. 95(1)
University of Kashan (IR)
Openalex Percentile: Top 83%
Mathematical Analysis and Transform Methods
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