A Novel Fractional Model for Advancing Urban Flood Prediction

Abstract

Urban flooding is a growing threat to cities, livelihoods, and ecosystems. The non-linear dynamics of flood waves, characterized by memory effects and interactions over large-scale regions, are often beyond the reach of conventional equation-based flood models. Modern advancements in the field of fractional calculus of fera solution to these issues. The Tanganna derivatives are integrated in a flood model for an extended assessment of historical data and spatial heterogeneity in floods in this paper we using the Fractional Spectral Method (FSM), This method helps to correctly solve the differential equations with complex boundary conditions, and thus, this method makes a quick hand about converting them into an easier form of algebraic equation. Boundary conditions are represented using Robin and Neumann types, with the initial condition given by a hyper bolictangent distribution. This is confirmed through numerical simulations [6, 38, 39].