Galerkin-least square B-spline approach toward advection–diffusion equation

S. Dhawan, Samir Kumar Bhowmik and Sheo Kumar

Applied Mathematics and Computation, 2015, vol. 261, issue C, 128-140

Abstract: Advection–diffusion equation is one of the governing equations used for modeling solute transport processes and water quality in rivers, lakes, oceans and groundwater etc. To simulate this class of mathematical problems, a computational scheme based on weighted residual least squares method using cubic B-splines is developed in this paper. Moreover, some test cases and results obtained are discussed and compared with the available data. The suggested method is shown to be accurate enough through these test examples.

Keywords: Advection–diffusion; B-splines; Finite element methods (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:261:y:2015:i:c:p:128-140

DOI: 10.1016/j.amc.2015.03.092

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