I would like to thank to our dear ALLAH who gave me this ability and chance to understand and learn the in-depth knowledge of science and technology at Blekinge Institute of Technology, BTH. I would like to show my gratitude to my honorable thesis supervisor Mattias Eriksson for his guidance, feedback and support throughout our thesis work. I will also express our deepest gratitude to all the teachers who let me understand the real aspect of mathematics and for letting me learn more about Mathematical Modeling and Simulation. Last but not least, i also express my deepest gratitude to my beloved parents, for always having encouraged me and supported me in every possible way throughout my studies both financially and morally and my teacher Mian Anwer(Late) who made my base in mathematics. May Allah take his soul rest in place (Ameen). Rehan Butt 2013, Sweden