In this work, we apply adaptive multiresolution (Harten’s approach) characteristic-wise fifth-order Weighted Essentially Non-Oscillatory (WENO) for computing the numerical solution of a polydisperse sedimentation model, namely, the Höfler and Schwarzer model. In comparison to other related works, time discretization is carried out with the ten-stage fourth-order strong stability preserving Runge–Kutta method which is more efficient than the widely used optimal third-order TVD Runge–Kutta method. Numerical results with errors, convergence rates and CPU times are included for four and 11.Departamento Administrativo de Ciencia, Tecnología e Innovación [CO] Colciencias1215-569-33836Métodos adaptativos de multiresolución aplicado a la solución numérica de ciertos modelos descritos matemáticamente por leyes de conservaciónno