Resolução do problema de mistura de forma analítica e numérica

Abstract

Many real problems are modeled mathematically using differential equations, and can be solved by analytical, numerical and experimental methods. In this way, the present work has the objective of carrying out a bibliographic research as well as studying and solving mixing problems, using analytical and numerical resolution techniques for ordinary differential equations and making the comparison between the obtained solutions. The applications addressed describe the problem of tank mixing, the concentration of a chemical in a pond and the amount of additive in gasoline in a storage tank at an oil refinery. The results obtained analytically were compared with the numerical approximations obtained by the simulation with various computational step values. Euler's method is simple to apply and has excellent accuracy for the mixing problems addressed.