A Study of Upper Crust Temperature Variation by Fourier Series
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Date
1989-06-??
Authors
鄭懌
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Publisher
國立臺灣師範大學研究發展處
Office of Research and Development
Office of Research and Development
Abstract
表層地殼之溫度變化會受到氣候因素的影響，其熱態之微分方程式可用傅式級數加以分析求解。所得之結果與一般所用之三角函數或拉普拉斯轉換法比較，有很高之 相容性。 用傅式級數分析法所得之解擴大了熱傳導方程式解之涵蓋範圍，同時也可獲得簡明而完整之物理意義。
An alternative mathematical method for solving the differential equation re-lating to the thermal state of the upper crust influenced by the climatic variation can be achieved by. employing the Fourier series method. The solution derived from this method is compatible to the analytical solution with a Laplace transform. This method can broaden the scope of the solution of heat conduction equation and gives an explicit and complete interpretation.
An alternative mathematical method for solving the differential equation re-lating to the thermal state of the upper crust influenced by the climatic variation can be achieved by. employing the Fourier series method. The solution derived from this method is compatible to the analytical solution with a Laplace transform. This method can broaden the scope of the solution of heat conduction equation and gives an explicit and complete interpretation.