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Predictor-corrector method for solving fractional order differential equation and its Application

机译：分数阶微分方程的预测校正方法及其应用

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摘要

Nowadays there are many methods to solve fractional order differential equation, including finite difference method, finite element method, meshless method etc. In many methods of solution to ordinary differential equations, the most important one is predictor corrector. Based on the atmospheric diffusion theory, considering various influence factors of nuclear radiation substance diffusion which includes wind speed, wind direction, rainfall and other factors, this paper establishes a predictor corrector model, the result of which is solved by using MATLAB. Then the paper obtains favorable result which is in compliance with actual monitoring data. Finally, based on the model, the paper analyzes the diffusion from a global perspective and reaches the conclusions that nuclear dispersal has little effect on the southeast coast of China and the west coast of the United States.
机译：当今，求解分数阶微分方程的方法很多，包括有限差分法，有限元法，无网格法等。在许多求解常微分方程的方法中，最重要的是预测校正器。基于大气扩散理论，考虑了风速，风向，降雨等多种影响核辐射物质扩散的因素，建立了预测校正模型，并利用MATLAB对其求解。从而得到与实际监测数据相符的良好结果。最后，在该模型的基础上，从全球角度分析了核扩散，得出了核扩散对中国东南沿海和美国西海岸影响不大的结论。

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