Course Content (Syllabus)
Elements of numerical analysis (numerical interpolation, numerical integration, solution of algebraic systems, Fourier series, finite differences). Numerical solution of differential equations (introduction, parabolic equations, hyperbolic equations – method of characteristics, elliptic equations). Applications to flows in pipes (steady flow in networks under pressure – Cross method, unsteady flow – hydraulic hammer). Applications to flows in open channels (steady non-uniform flow, mathematical model of unsteady flow, motion of flood wave). Applications to flows in porous media. Applications to problems of diffusion-dispersion (mathematical model of diffusion-dispersion, numerical solutions). Introduction to finite element method. Applications.