Accurate estimation of breakthrough curve (BTC) is required to scale -up the column adsorption process. A mathematical model (unsteady advection–dispersion–diffusion–adsorption equation) was solved analytically and numerically to simulate the dynamic adsorption of Co(II) ions on hydrogen peroxide-modified bone waste. The performance of both analytical and numerical approaches was evaluated under varying initial Co(II) concentrations (25, 50 and 75 mg L⁻¹), bed heights (3, 6 and 9 cm), flow rates (0.6, 1.2 and 1.8 mL min⁻¹), and pH (2, 4, 6, 8). Both analytical (R² = 0.990) and numerical (R² = 0.993) approaches described the experimental data well. The comparison results indicate that in spite of the capability of the analytical modeling for predicting the BTC (NRMSE = 9.32%), numerical modeling is more efficient in the simulation of Co(II) adsorption by adsorbent (NRMSE = 7.56%). So, it can be concluded that analytical modeling can be an easy and quick alternative to numerical modeling for predicting BTC with acceptable accuracy.

需要精确估算击穿曲线（BTC），以扩大色谱柱的吸附过程。解析和数值求解了数学模型（非平稳对流-扩散-扩散-吸附方程），以模拟Co（II）离子在过氧化氢改性的骨废料上的动态吸附。在不同的初始Co（II）浓度（25、50和75 mg L ^-1），床高（3、6和9 cm），流速（0.6、1.2和1.8 mL ）下评估了分析方法和数值方法的性能min ^-1）和pH（2，4，6，8）。解析（R ²  = 0.990）和数值（R ² = 0.993）方法很好地描述了实验数据。比较结果表明，尽管分析模型可以预测BTC（NRMSE = 9.32％），但数值模型在模拟吸附剂对Co（II）的吸附方面更有效（NRMSE = 7.56％）。因此，可以得出结论，对于以可接受的准确度预测BTC而言，分析建模可以轻松替代数值建模。