الفهرس 
SummaryOnly 14 pages are availabe for public view
 |  | from | 94 |  |  |
| | | from | 94 | | |
Abstract
Many rivers and drainages systems have suffered from environmental damage due to discharges from manufacturing processes and wastewater from centers of pollution over several decades. In this thesis, a mathematical models of one dimensional advection diffusion equation of heavy metal concentration with sink or source term in drainage systems is introduced. The finite difference method is used to predict the concentration of the heavy metals at specific distance and different times. The mathematical models include single or multi sources of heavy metals that affect at specific distances and times. Also, these sources may be constant or affect for a period of time. The thesis comprises five chapters: In chapter one, a general introduction of modeling approach, heavy metals properties and benefits of mathematical modeling is introduced. Chapter two contains a literature review about the history of advection diffusion equation and modeling of heavy metal transportation in drainage systems. Chapter three includes a theoretical background of mathematical derivation of the advection and diffusion equation. In chapter four, a mathematical model of one dimensional advection diffusion equation with reaction term is solved using finite difference method. The model has been solved for single and multi inputs of sources at different distances and times. Also, the results are represented graphically. Finally, chapter five presents the concluding remarks about the work achieved and suggestion for future work.