Tenth MSU Conference on Differential Equations and Computational Simulations.
Electron. J. Diff. Eqns., Conference 23 (2016), pp. 213--221.
An improved method for estimating ice line for zonal energy balance
climate models
Zhenbu Zhang, Tor A. kwembe, Remata S. Reddy, Jerryl Roberts,
Brittany Keys, Tsion Andine
Abstract:
In this article we consider an energy balance climate model.
For a given ice line, we use spectral method to derive an approximation
of the solution. Then we propose a method to update the ice line and to
derive an updated approximation of the solution. We compare the difference
between the approximation with fixed ice line and the approximation with
updated ice line by looking at the temperature profile at some specific
locations and times. The significance of the method to update the ice line
is that it is model free. Therefore, it can be used in other climate models.
Published March 21, 2016.
Math Subject Classifications: 35B30, 35K20, 35K57
Key Words: Temperature profile; climate change; energy balance; ice line;
spectral method.
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Zhenbu Zhang
Department of Mathematics and Statistical Sciences
Jackson State University
Jackson, MS 39217, USA
email: zhenbu.zhang@jsums.edu
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Tor A. kwembe
Department of Mathematics and Statistical Sciences
Jackson State University
Jackson, MS 39217, USA
email: tor.a.kwembe@jsums.edu
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Remata S. Reddy
Department of Physics
Atmospheric Sciences & Geoscience
Jackson State University
Jackson, MS 39217, USA
email: remata.s.reddy@jsums.edu
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Jerryl Roberts
Department of Physics, Atmospheric Sciences & Geoscience
Jackson State University
Jackson, MS 39217, USA
email: jerryl.m.roberts@students.jsums.edu
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Brittany Keys
Department of Mathematics and Statistical Sciences
Jackson State University
Jackson, MS 39217, USA
email: Brittanykeys.edu@gmail.com
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Tsion Andine
Department of Biology
Jackson State University
Jackson, MS 39217, USA
email: tsion1995@yahoo.com
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