Analysis of the KdV Equation Using Operator Splitting Method and Its Application in Modeling Arterial Pulse Waves Kindle Edition

This thesis analyzes the Korteweg-de Vries (KdV) equation by applying finite difference operator splitting methods and demonstrates its substantial potential in modeling arterial pulse waves for biomedical diagnostics. The research specifically addresses the propagation dynamics of long nonlinear waves of small amplitude, relevant in the context of the cardiovascular system where the heart generates pulse waves as a succession of distinct beats. The KdV equation, classically a model for shallow water waves, is adapted here for arterial blood flow, capturing the soliton nature of pulse propagation through elastic arterial segments. Read more