Galerkin Method for the numerical solution of the advection-diffusion   equation by using exponential B-splines
  In this paper, the exponential B-spline functions are used for the numerical solution of the advection-diffusion equation. Two numerical examples\ related to pure advection in a finitely long channel and the distribution of an initial Gaussian pulse are employed to illustrate the accuracy and the efficiency of the method. Obtained results are compared with some early studies. 
Melis Zorsahin Gorgulu and Idris Dag
math.NA