Galerkin Method for the numerical solution of the advection-diffusion equation by using exponential B-splines
arXiv:1604.042674 citationsh-index: 37
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This is an incremental improvement for researchers solving advection-diffusion equations numerically.
The authors apply exponential B-splines within a Galerkin method to solve the advection-diffusion equation, demonstrating accuracy on two test problems (pure advection and Gaussian pulse) and comparing favorably with prior work.
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.