Uso de métodos numéricos na resolução de uma equação diferencial ordinária
Abstract
Numeric method is a mathematical tool used to solve numerical problems. This tool is commonly used to automate the solution of analytically solved mathematical equations. In this article, an ordinary differential equation that models Bovine Spongiform Encephalopathy (BSE) is solved. BSE is a fatal degenerative disease, that causes the death of neural cells in its development process. In the paper presented here, three numerical methods were used. For each of them, five different scenarios were analyzed, their respective orders of complexity were calculated and their similarities with the solution found in the original work of BSE were compared.
References
Braun, M. and Golubitsky, M. (1983). Differential equations and their applications, volume 4. Springer.
Galdino, M., de Albuquerque, S., Ferreira, A., Cressoni, J., and dos Santos, R. (2001). Thermo-kinetic model for prion diseases. Physica A: Statistical Mechanics and its Applications, 295(1):58–63.
Lapedes, A. and Farber, R. (1987). Nonlinear signal processing using neural networks: Prediction and system modelling. Technical report.
Prince, M., Bailey, J., Barrowman, P., Bishop, K., Campbell, G., andWood, J. (2003). Bovine spongiform encephalopathy. Revue Scientifique et Technique-Office International des Epizooties, 22(1):37–82.
Winterton, R. H. S. (1999). Newton’s law of cooling. Contemporary Physics, 40(3):205– 212.
Yano, Y., Oguma, T., Nagata, H., and Sasaki, S. (1998). Application of logistic growth model to pharmacodynamic analysis of in vitro bactericidal kinetics. Journal of pharmaceutical sciences, 87(10):1177–1183.
