A New Basis for the Solution of the One-Dimensional ...

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XVI International Conference on Computational Methods in Water Resources (CMWR-XVI) Ingeniørhuset

A New Basis for the Solution of the One-Dimensional Convection-Diffusion Equation Convection-Diffusion Equation
Paper
Author:Stephen Brill <brill@math.boisestate.edu> (Department of Mathematics, Boise State University)
Presenter:Stephen Brill <brill@math.boisestate.edu> (Department of Mathematics, Boise State University)
Date: 2006-06-18     Track: General Sessions     Session: General
DOI:10.4122/1.1000000633
DOI:10.4122/1.1000000634

We present a family of functions that satisfy the one-dimensional convection-diffusion equation. This partial differential equation is widely used in the sciences and engineering, including to model the transport of contaminant dissolved in groundwater. Combinations of these functions are formed to satisfy boundary and initial conditions. The result is an inexpensive and highly accurate solution methodology.