A New Basis for the Solution of the One-Dimensional Transport Equation

Stephen H. Brill

A New Basis for the Solution of the One-Dimensional Transport Equation

Stephen H. Brill

Mathematics Department

Research output: Contribution to conference › Presentation

Abstract

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.

Original language	American English
State	Published - Jun 2006
Event	The XVI International Conference on Computational Methods in Water Resources - Duration: 1 Jun 2006 → …

Conference

Conference	The XVI International Conference on Computational Methods in Water Resources
Period	1/06/06 → …

EGS Disciplines

Applied Mathematics

Cite this

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title = "A New Basis for the Solution of the One-Dimensional Transport Equation",

abstract = " 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.",

author = "Brill, \{Stephen H.\}",

year = "2006",

month = jun,

language = "American English",

note = "The XVI International Conference on Computational Methods in Water Resources ; Conference date: 01-06-2006",

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TY - CONF

T1 - A New Basis for the Solution of the One-Dimensional Transport Equation

AU - Brill, Stephen H.

PY - 2006/6

Y1 - 2006/6

N2 - 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.

AB - 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.

UR - http://dx.doi.org/10.4122/1.1000000634

M3 - Presentation

T2 - The XVI International Conference on Computational Methods in Water Resources

Y2 - 1 June 2006

ER -

A New Basis for the Solution of the One-Dimensional Transport Equation

Abstract

Conference

EGS Disciplines

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