The financial risk early warning model is an effective means of risk prevention. This paper's linear partialdifferential equation is innovatively applied to financial institutions' financial risk early warning system. At thesame time, we construct a partial differential equation, linear discriminant model, based on the extreme valueprinciple. The system can effectively avoid the problem of fractional model failure. The simulation results showthat the algorithm in this paper improves the accuracy and speed of financial risk early warning and significantlyreduces the two-class classification error rate of
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