English

Galerkin Method for the numerical solution of the advection-diffusion equation by using exponential B-splines

Numerical Analysis 2019-04-01 v1

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 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.

Keywords

Cite

@article{arxiv.1604.04267,
  title  = {Galerkin Method for the numerical solution of the advection-diffusion equation by using exponential B-splines},
  author = {Melis Zorsahin Gorgulu and Idris Dag},
  journal= {arXiv preprint arXiv:1604.04267},
  year   = {2019}
}

Comments

13 pages, 4 figures. arXiv admin note: text overlap with arXiv:1504.05901

R2 v1 2026-06-22T13:32:47.182Z