With the rapid development of aerospace and electronics industry, the thermal management of hightemperature devices has become a key bottleneck restricting the progress of the industry. Based on the theoretical foundation of nonlinear partial differential equations, this study innovatively combines the improved Khater method with the precalibration algorithm to construct a set of hybrid numerical simulation methods for the heat transfer characteristics of high-temperature devices, which shows excellent computational accuracy and numerical stability when dealing with the region of drastic temperature changes. In order to solve the problem of heat dissipation in high temperature environments, this paper designs a device heat dissipation scheme with a fractal wave wall structure, which is corroborated by systematic numerical simulations and experimental tests. The research data show that the optimized fractal wavefront structure achieves a significant improvement of 23.7% in heat transfer efficiency at a high temperature of 600°C, while the uniformity of temperature distribution is significantly improved. The experimental measurements are in high agreement with the numerical simulation predictions, which not only confirms the reliability of the proposed hybrid numerical method, but also verifies the effectiveness of the fractal wave-wall structure design in practical applications. This study not only enriches the theoretical system of thermal management of high-temperature devices, but also provides a feasible technical path for related engineering practice, which has important theoretical value and broad engineering application prospects in high-temperature applications such as aerospace and electronics manufacturing.