An adaptive step-size method for the coupled equations of multi-pumped broadband Raman amplifiers is proposed based on Runge-Kutta-Fehlberg methods. This algorithm adjusts the step-size appropriately according to the presupposed precision and the local truncation error of each step. Simulation results indicate that our adaptive step-size method improves the accuracy and the simulating speed efficiently compared with other traditional algorithms and suits the numerical simulation for fiber Raman amplifier.
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