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

Author

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  • Dhawan, S.
  • Bhowmik, Samir Kumar
  • Kumar, Sheo

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.

Suggested Citation

  • Dhawan, S. & Bhowmik, Samir Kumar & Kumar, Sheo, 2015. "Galerkin-least square B-spline approach toward advection–diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 128-140.
    • Handle: RePEc:eee:apmaco:v:261:y:2015:i:c:p:128-140
    DOI: 10.1016/j.amc.2015.03.092
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    Cited by:

    1. Lin, Ji & Reutskiy, Sergiy, 2020. "A cubic B-spline semi-analytical algorithm for simulation of 3D steady-state convection-diffusion-reaction problems," Applied Mathematics and Computation, Elsevier, vol. 371(C).

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