Numerical method for advection diffusion equation using FEM and B-splines
In the present work, a comprehensive study of advectiondiffusion equation is made using B-spline functions. Advectiondiffusion equation has many physical applications such as dispersion of dissolved salts in groundwater, spread of pollutants in rivers and streams, water transfer, dispersion of tracers, and flow fast through porous media. Motivation behind the proposed scheme is to present a solution scheme which is easy to understand. Both linear and quadratic B-spline functions have been used in the present work to understand the basic aspect and advantages of the presented scheme. Along with this, some test examples are studied to observe the correctness of the numerical experiments. Finally, different comparisons are made to cross check the results obtained by the given scheme.
b-spline advectiondiffusion equation finite element method