Mathematical modeling is a very powerful tool for the study and understanding of the climate system. Modern climate models used in different applications are derived from a set of many-dimensional nonlinear differential equations in partial derivatives. The Climate models contain a wide number of model parameters that can describe external forcing that can strongly affect the behavior of the climate. It is imperative to estimate the influence of variations in parameters on climate change. The methods of 1-norm, 2-norm, and infinity-norm were used to quantify different forms of the sensitivity of model parameters. The approach applied in this research involves coding the given system of continuous non-linear first order ordinary differential equation in a Matlab solver, modifying and coding a similar program which is used for a variation of a single parameter one-at-a-time while other model parameters are fixed. Finally, the program is used to calculate the 1-norm, 2-norm, 3-norm and infinity norm of the solution trajectories in the same manner. The study shows that the most sensitivity parameters in the model are the concentration of a suitable absorbent and the rate of inflow of absorbent in the absorption chamber.
Published in | Applied and Computational Mathematics (Volume 9, Issue 3) |
DOI | 10.11648/j.acm.20200903.16 |
Page(s) | 96-101 |
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Sensitivity Analysis, Mathematical Model, Climate Change
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APA Style
Bazuaye Frank Etin-Osa, Ijomah Maxwell Azubike. (2020). Parametric Sensitivity Analysis of a Mathematical Model of the Effect of CO2 on the Climate Change. Applied and Computational Mathematics, 9(3), 96-101. https://doi.org/10.11648/j.acm.20200903.16
ACS Style
Bazuaye Frank Etin-Osa; Ijomah Maxwell Azubike. Parametric Sensitivity Analysis of a Mathematical Model of the Effect of CO2 on the Climate Change. Appl. Comput. Math. 2020, 9(3), 96-101. doi: 10.11648/j.acm.20200903.16
AMA Style
Bazuaye Frank Etin-Osa, Ijomah Maxwell Azubike. Parametric Sensitivity Analysis of a Mathematical Model of the Effect of CO2 on the Climate Change. Appl Comput Math. 2020;9(3):96-101. doi: 10.11648/j.acm.20200903.16
@article{10.11648/j.acm.20200903.16, author = {Bazuaye Frank Etin-Osa and Ijomah Maxwell Azubike}, title = {Parametric Sensitivity Analysis of a Mathematical Model of the Effect of CO2 on the Climate Change}, journal = {Applied and Computational Mathematics}, volume = {9}, number = {3}, pages = {96-101}, doi = {10.11648/j.acm.20200903.16}, url = {https://doi.org/10.11648/j.acm.20200903.16}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20200903.16}, abstract = {Mathematical modeling is a very powerful tool for the study and understanding of the climate system. Modern climate models used in different applications are derived from a set of many-dimensional nonlinear differential equations in partial derivatives. The Climate models contain a wide number of model parameters that can describe external forcing that can strongly affect the behavior of the climate. It is imperative to estimate the influence of variations in parameters on climate change. The methods of 1-norm, 2-norm, and infinity-norm were used to quantify different forms of the sensitivity of model parameters. The approach applied in this research involves coding the given system of continuous non-linear first order ordinary differential equation in a Matlab solver, modifying and coding a similar program which is used for a variation of a single parameter one-at-a-time while other model parameters are fixed. Finally, the program is used to calculate the 1-norm, 2-norm, 3-norm and infinity norm of the solution trajectories in the same manner. The study shows that the most sensitivity parameters in the model are the concentration of a suitable absorbent and the rate of inflow of absorbent in the absorption chamber.}, year = {2020} }
TY - JOUR T1 - Parametric Sensitivity Analysis of a Mathematical Model of the Effect of CO2 on the Climate Change AU - Bazuaye Frank Etin-Osa AU - Ijomah Maxwell Azubike Y1 - 2020/06/08 PY - 2020 N1 - https://doi.org/10.11648/j.acm.20200903.16 DO - 10.11648/j.acm.20200903.16 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 96 EP - 101 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20200903.16 AB - Mathematical modeling is a very powerful tool for the study and understanding of the climate system. Modern climate models used in different applications are derived from a set of many-dimensional nonlinear differential equations in partial derivatives. The Climate models contain a wide number of model parameters that can describe external forcing that can strongly affect the behavior of the climate. It is imperative to estimate the influence of variations in parameters on climate change. The methods of 1-norm, 2-norm, and infinity-norm were used to quantify different forms of the sensitivity of model parameters. The approach applied in this research involves coding the given system of continuous non-linear first order ordinary differential equation in a Matlab solver, modifying and coding a similar program which is used for a variation of a single parameter one-at-a-time while other model parameters are fixed. Finally, the program is used to calculate the 1-norm, 2-norm, 3-norm and infinity norm of the solution trajectories in the same manner. The study shows that the most sensitivity parameters in the model are the concentration of a suitable absorbent and the rate of inflow of absorbent in the absorption chamber. VL - 9 IS - 3 ER -