Galerkin Method for the Numerical Solution of the Advection-Diffusion Equation by Using Exponential B-splines

International Journal of Mathematical Modelling & Computations

مقاله 1، دوره 8، 3 (SUMMER) - شماره پیاپی 31، آبان 2018، صفحه 133-143   

نوع مقاله: Full Length Article

نویسندگان

Melis Zorsahin Gorgulu^{* 1}؛ Idris Dag²

¹Department of Mathematics-Computer, Faculty of Science and Art, Eskisehir Osmangazi University, Eskisehir, Turkey

²Department of Computer Engineering, Faculty of Engineering and Architecture, Eskisehir Osmangazi University, Eskisehir, Turkey

چکیده

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.

کلیدواژه‌ها

Exponential B-Spline؛ Galerkin Method؛ Crank-Nicolson method؛ Advection-Diffusion Equation