With the rapid growth of IoT technology and the rise of smart devices, edge computing, particularly federated learning (FL), has gained importance for preserving user data privacy. However, FL faces challenges like non-independent identically distributed data and device heterogeneity, leading to model disparities and reduced precision. Our research proposes a novel adaptive FL framework specifically engineered to synchronize computational capacities within heterogeneous edge computing landscapes. Building upon the proof of convergence boundaries for local aggregation model, this algorithm adapts the number of iterations for local updates by considering the resource consumption relationship between local aggregation model and the local updated model by various clients. This method exhibit adaptability within an environment where disparities in edge device computational capacities exist, effectively balancing computational prowess among diverse devices and enhancing the output performance of federated learning Experiments on MNIST and PlantVillage datasets show that in heterogeneous environments, our algorithm outperforms existing methods, improving the loss function by at least 16.87% and the convergence speed by at least 2 times, in various environments (MobileNet, AlexNet).