Reproducing kernel method for Fangzhu's oscillator for water collection from air

In this article, reproducing kernel method is used to approximate nonlinear oscillator in order to reveal main factors affecting the usefulness of an ancient water collection device known as Fangzhu, that is, the surface temperature, the air velocity, surface structure, and suitable super‐hydrophilic and super‐hydrophobic surface duals. The approximate solution is compared with the exact solution as well as the results obtained by the simplest frequency–amplitude formulation, to show the effectiveness of the proposed technique for solving this type nonlinear oscillator. Fangzhu plays a significant role in ocean engineering, modern architecture, self‐lubrication of moving surfaces, transportation, and many others to catch water from air for day‐to‐day use.