Title of article :
Galerkin Method for the Numerical Solution of the Advection-Diffusion Equation by Using Exponential B-Splines
Author/Authors :
Zorsahin Gorgulu, M aDepartment of Mathematics-Computer - Eskisehir Osmangazi University - Eskisehir, PO. Code 26480, Turkey, , Dag, I Department of Computer Engineering - Eskisehir Osmangazi University - Eskisehir, PO. Code 26480, Turkey.
Abstract :
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
nitely 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.
Keywords :
Exponential B-spline , Galerkin method , Crank-Nicolson method , Advection-diffusion equation
Journal title :
Astroparticle Physics
