Solving an onedimensional advection-dispersion equation with spline functions.

Authors

  • David Ernesto Marón-Domínguez Instituto Superior Politécnico “José Antonio Echeverría”
  • Alberto Gutiérrez-de-la-Rosa Instituto Superior Politécnico “José Antonio Echeverría”

Keywords:

cubic splines, interpolation, differential equation, dispersion

Abstract

The application of cubic spline polynomials to the numeric solution of a one-dimensional differential dispersion equation is presented. For the non-stationary case, the variation in time was reflected by the spline polynomial coefficients and the discretization in time was obtained using the finite difference method. All the algorithms were implemented with the MATLAB mathematical assistant. The results were compared to tracer test measurements from a real case as well as with the finite element method

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Published

2023-06-16

How to Cite

Marón-Domínguez, D. E., & Gutiérrez-de-la-Rosa, A. (2023). Solving an onedimensional advection-dispersion equation with spline functions. Tecnología Y Ciencias Del Agua, 4(4), 173–178. Retrieved from https://revistatyca.org.mx/index.php/tyca/article/view/385

Issue

Vol. 4 No. 4 (2013): septiembre-octubre

Section

Notes

License

By Instituto Mexicano de Tecnología del Agua is distributed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License. Based on a work at https://www.revistatyca.org.mx/. Permissions beyond what is covered by this license can be found in Editorial Policy.