|
|
Applied Mathematics and Physics
Number of Followers: 2  Open Access journalISSN (Print) 2333-4878 - ISSN (Online) 2333-4886 Published by Science and Education Publishing  [75 journals]
|
- Application of Advection Diffusion Equation for Determination of
Contaminants in Aqueous Solution: A Mathematical Analysis
Authors: Muhammad Masudur Rahaman; Humaira Takia, Md. Kamrul Hasan, Md. Bellal Hossain, Shamim Mia, Khokon Hossen
Pages: 24 - 31
Abstract: Water pollution is one of the leading environmental issues faced especially at developing countries all over the World. However, the study of pollution movement is a necessary basis for solving water quality problems. The mathematical model for soluble and insoluble water pollutants has been formulated in light of partial differential equations. This research proposes the motion of flowing pollution by using a mathematical model in one-dimensional advection diffusion equation. Therefore, the study explored finite difference method for the numerical solutions of advection diffusion equation (ADE). Moreover, the study considered the ADE as an initial boundary value problem (IBVP) for the estimation of water pollution. By implementing a finite difference scheme for the IBVP, we examined as well as analyzed the extent of water pollution at different times and different points in an 1-dimensional spatial domain. We estimated relative error of the schemes in comparison with an exact solution of ADE and the numerical features of the rate of convergence are presented graphically. Finally, we compared our numerical solution of the ADE with solution obtained by finite element method. Numerical analysis indicates that water treatment is an essential tool for obtaining quality water for human consumption.
PubDate: 2022-03-29
DOI: 10.12691/amp-10-1-2
Issue No: Vol. 10, No. 1 (2022)
- Iridium (IV) Oxide (IrO2) Smart Nano Particles, Nano Capsules and
Nanoclusters Influence, Impression and Efficacy in Cancer Prevention,
Prognosis, Diagnosis, Imaging, Screening, Treatment and Management under
Synchrotron and Synchrocyclotron Radiations
Authors: Alireza Heidari; Margaret Hotz, Nancy MacDonald, Victoria Peterson, Angela Caissutti, Elizabeth Besana, Jennifer Esposito, Katrina Schmitt, Ling-Yu Chan, Francesca Sherwood, Maria Henderson, Jimmy Kimmel
Pages: 1 - 23
Abstract: In the current research, advanced studies on the effect of transition metal doped Iridium (IV) Oxide (IrO2) nano thin films in cancer cells, tissues and tumors under synchrotron and synchrocyclotron radiations is investigated. The calculation of thickness and optical constants of Iridium (IV) Oxide (IrO2) advanced studies on the effect of transition metal doped Iridium (IV) Oxide (IrO2) nano thin films in cancer cells, tissues and tumors under synchrotron and synchrocyclotron radiations produced using sol-gel method over glassy medium through a single reflection spectrum is presented. To obtain an appropriate fit for reflection spectrum, the classic Drude-Lorentz model for parametric di-electric function is used. The best fitting parameters are determined to simulate the reflection spectrum using Lovenberg-Marquardt optimization method. The simulated reflectivity from the derived optical constants and thickness are in good agreement with experimental results.
PubDate: 2021-12-07
DOI: 10.12691/amp-10-1-1
Issue No: Vol. 10, No. 1 (2021)
