Traditional Congestion control algorithms exhibit low convergence rate to equilibrium when the network capacity or round-trip delay is very large.In this paper

we propose a new algorithm called NMKC to accelerate the fairness convergence speed.To achieve this goal

our method incorporates two modes of operation based on the network feedback:low load mode updates the sending rate with MKC source control equation to achieve exponential convergence to efficiency

and high load mode constructs a novel source updating method to improve fairness convergence speed.The stability and convergence behavior is proved by theory.NS simulation results show that NMKC offers faster convergence speed.