Numerical Analysis of Greenhouse Gas Impact on Heat Retention in Atmosphere
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Abstract
The concentration of greenhouse gases (GHGs) in the atmosphere has increased over time as a result of human activities, causing extensive global warming and climatic uncertainty. The following paper provides an extensive numerical assessment of the influence of different GHGs mainly CO₂, CH₄, and N₂O on retaining atmospheric heat. Utilizing reliable climatological data sets from NASA, NOAA, and IPCC reports, we model discrete numerical estimations employing the finite difference method to evaluate the radiative forcing effects of raised GHG concentrations. The methodology integrates Stefan Boltzmann Law, Arrhenius-type radiative forcing equations, and empirically derived absorption coefficients. Numerical modeling compares pre- and post-industrial revolution atmospheric energy holding, demonstrating a tangible increase in energy holding that is attributed to rising GHG concentrations. This research bridges the gap between atmospheric physics and numerical mathematics, providing accurate quantitative understanding of climatic reactions to GHG increases