In this project it will be investigated theoretical and computational aspects for solving diffusion problems in one and two dimensions. The theoretical studies will be concentrated in the finite difference approximations of functions and derivatives, and in the consistency and stability analyses of the numerical schemes. The implementations will be done in Python which is a robust, efficient and well supported programming language. Moreover, Python is also considered as an appropriate language for developing new codes using machine-learning algorithms. Therefore, in order to introduce the student in the scientific computing area, it will investigated some diffusion problems modelled by differential equations.
News published in Agência FAPESP Newsletter about the scholarship: