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# Mathematical modeling and parameter estimation for water quality management system.

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This report describes various problem solving techniques in mathematical modeling for calculating various parameters of water e.g. temperature, pH, Dissolved oxygen. A mathematical model provides the ability to predict the contaminant concentration levels of a river. Here we are using an advection-diffusion equation as our mathematical model. The numerical solution of equation is calculated using Matlab & Mathematica. Parameter estimation is necessary in water modeling to predict the different parameters of water at different point with minimal errors. So here we use 2D & 3D interpolation technique for parameter estimation.

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### Mathematical modeling and parameter estimation for water quality management system.

1. 1. Mathematical Modeling and Parameter Estimation for Water Quality Management System. Summer Internship report May 15, 2014– July 15, 2014 Student: Kamal Pradhan (12BTCSE04) Program: B.Tech Computer Sc. Department: SUIIT Supervisor: Dr. Nihar Satapathy Project name: AquaSense SAMBALPUR UNIVERSITY INSTITUTE OF INFORMATION TECHNOLOGY Submitted by: Kamal Pradhan, B.Tech CSE. Guided By: Dr. Nihar Satapathy H.O.D, Dept .of Mathematics, Sambalpur University
2. 2. AquaSense, Internship 2014 2 Acknowledgement First I would like to thank Dr. Nihar Satapathy, H.O.D Dept. of Mathematics and P.I (AquaSense), Sambalpur University for giving me the opportunity to do an internship within the organization. For me it was a unique experience to be in Sambalpur and to study an interesting subject. It also helped to get back my interest in ecological research and to have new plans for my future career. I also would like to thank all the people that worked in the lab of ITRA in Sambalpur University Institute of Information Technology. With their patience and openness they created an enjoyable working environment. Furthermore I want to thank all the Research fellows and students, with whom I did the fieldwork. At last I would like to thank the ITRA Group, especially Dr. Nihar Satapathy, Principal Investigator of the project AquaSense, to allow me to do this interesting internship.
3. 3. AquaSense, Internship 2014 3Abstract This report describes various problem solving techniques in mathematical modeling for calculating various parameters of water e.g. temperature, pH, Dissolved oxygen. A mathematical model provides the ability to predict the contaminant concentration levels of a river. Here we are using an advection-diffusion equation as our mathematical model. The numerical solution of equation is calculated using Matlab & Mathematica. Parameter estimation is necessary in water modeling to predict the different parameters of water at different point with minimal errors. So here we use 2D & 3D interpolation technique for parameter estimation. Introduction This report is a short description of my two month internship carried out as a component of the B.Tech in computer science. The internship was carried out within the organization Sambalpur University Institute of Information Technology in from May 15-July 15 2014. Since my I am interested in Programming and quite acquainted with mathematical toolbox such as matlab and mathematica, the work was concentrated on solving complex mathematical problems programmatically. This internship report contains my activities that have contributed to project. In the following chapter a description of the organization ITRA and the activities is given. After this a reflection on my functioning, the unexpected circumstances and the learning goals achieved during the internship are described.