Comparative Studies of Solutions of Homogeneous Electrochemical Capacitors Models

•The article presents homogeneous ECs models that incorporated self-discharges effects.•The homogeneous ECs models were solved both numerically and analytically.•Compares solutions of ECs models obtained using analytical and different numerical methods.•Insights into effects of self-discharge on ECs performance from modelling and simulation.•Electric double layers (EDLs) instability and side-reactions or redox species reactions were taken as sources of self-discharge